<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/4cd876ab-f316-4cd9-898c-daeed10b7383/bg1.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x3 h3 y3 ff2 fs1 fc0 sc0 ls1 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x4 h4 y4 ff2 fs2 fc0 sc0 ls1 ws0"> </div><div class="t m0 x5 h5 y5 ff2 fs3 fc0 sc0 ls1 ws0">Licenciatura en Enseñanza </div><div class="t m0 x6 h5 y6 ff2 fs3 fc0 sc0 ls1 ws0">y Aprendizaje de las Matemáticas </div><div class="t m0 x7 h6 y7 ff2 fs4 fc0 sc0 ls1 ws0">Plan de Estudios <span class="blank _0"> </span>2022 </div><div class="t m0 x3 h6 y8 ff2 fs4 fc0 sc0 ls1 ws0"> </div><div class="t m0 x8 h7 y9 ff3 fs4 fc0 sc0 ls1 ws0">Estrategia Nacional de <span class="blank _0"> </span>Mejora <span class="blank _0"> </span> </div><div class="t m0 x9 h7 ya ff3 fs4 fc0 sc0 ls1 ws0">de las Escuelas Norma<span class="blank _0"> </span>les </div><div class="t m0 x2 h6 yb ff2 fs4 fc0 sc0 ls1 ws0"> </div><div class="t m0 xa h7 yc ff3 fs4 fc0 sc0 ls1 ws0">Programa del cu<span class="blank _0"> </span>rso </div><div class="t m0 xb h8 yd ff2 fs5 fc0 sc0 ls1 ws0">Álgebra y funci<span class="blank _0"></span>ones <span class="ff3"> </span></div><div class="t m0 xc h7 ye ff3 fs4 fc0 sc0 ls1 ws0">Segundo seme<span class="blank _0"> </span>stre </div><div class="t m0 xd h7 yf ff3 fs4 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y10 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y11 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y12 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y13 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y14 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h9 y15 ff1 fs0 fc0 sc0 ls0 ws0"> <span class="ff3 ls1"> </span></div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">2 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y19 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1a ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1b ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1c ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1d ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1e ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1f ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y20 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y21 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y22 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y23 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y24 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y25 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y26 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y27 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y28 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y29 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y2a ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h9 y2b ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hb y2c ff3 fs7 fc0 sc0 ls1 ws0">Primera edición: 2022 </div><div class="t m0 x2 hb y2d ff3 fs7 fc0 sc0 ls1 ws0">Esta edición estuvo a cargo de la Dirección General </div><div class="t m0 x2 hb y2e ff3 fs7 fc0 sc0 ls1 ws0">de Educación Superior para el Magisterio </div><div class="t m0 x2 hb y2f ff3 fs7 fc0 sc0 ls1 ws0">Av. Universidad 1200. Quinto piso, Col. Xoco, </div><div class="t m0 x2 hb y30 ff3 fs7 fc0 sc0 ls1 ws0">C.P. 03330, Ciudad de México </div><div class="t m0 x2 hb y31 ff3 fs7 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hb y32 ff3 fs7 fc0 sc0 ls1 ws0">D.R. Secretaría de Educación Pública, 2022 </div><div class="t m0 x2 h9 y33 ff3 fs7 fc0 sc0 ls1 ws0">Argentina 28, Col. Centro, C. P. 06020, Ciudad de México<span class="ff1 fs0 ls0"> </span><span class="fs0"> </span></div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">3 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y19 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1a ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1b ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1c ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1d ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1e ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y1f ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y20 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y21 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y22 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y23 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y24 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y25 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y26 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y27 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y28 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y29 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe h9 y2a ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hc y2b ff3 fs0 fc0 sc0 ls1 ws0">Trayecto <span class="blank _1"> </span>format<span class="blank _2"></span>ivo: <span class="blank _1"> </span><span class="ff2">Formación <span class="blank _1"> </span>pedagógica, <span class="blank _1"> </span>didácti<span class="blank _2"></span>ca <span class="blank _1"> </span>e </span></div><div class="t m0 x2 hc y34 ff2 fs0 fc0 sc0 ls1 ws2">interdiscip<span class="blank _2"></span>linar<span class="ff3 ws0"> </span></div><div class="t m0 x2 hc y35 ff3 fs0 fc0 sc0 ls1 ws0">Carácter del curs<span class="blank _2"></span>o: <span class="ff2">Currículo N<span class="blank _2"></span>acional<span class="ff3 ls2"> <span class="ls1">Hor<span class="blank _2"></span>as: <span class="ff2 ws2">4</span><span class="ls2"> </span>Créditos: <span class="ff2">4.5<span class="blank _2"></span> </span></span></span></span></div><div class="t m0 xe h9 y36 ff1 fs0 fc0 sc0 ls0 ws0"> <span class="ff3 ls1"> </span></div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">4 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hd y37 ff2 fs8 fc0 sc0 ls1 ws0">Índice </div><div class="t m0 xe he y38 ff2 fs9 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h9 y39 ff3 fs0 fc0 sc0 ls1 ws0">Propósito y d<span class="blank _2"></span>escripción genera<span class="blank _2"></span>l del curso <span class="blank _3"> </span><span class="ff1 ws3">5</span> </div><div class="t m0 x2 h9 y3a ff3 fs0 fc0 sc0 ls1 ws0">Dominios y d<span class="blank _2"></span>esempeñ<span class="blank _2"></span>os del perfil de <span class="blank _2"></span>egreso a los q<span class="blank _2"></span>ue contrib<span class="blank _2"></span>uye el </div><div class="t m0 x2 h9 y3b ff3 fs0 fc0 sc0 ls1 ws0">curso <span class="blank _4"> </span><span class="ff1 ls3 ws4">13</span> </div><div class="t m0 x2 h9 y3c ff3 fs0 fc0 sc0 ls1 ws0">Estructura de<span class="blank _2"></span>l curso <span class="blank _5"> </span><span class="ff1 ls3 ws4">17</span> </div><div class="t m0 x2 h9 y3d ff3 fs0 fc0 sc0 ls1 ws0">Orientaciones p<span class="blank _2"></span>ara el ap<span class="blank _2"></span>rendizaje y ens<span class="blank _2"></span>eñanza <span class="blank _6"> </span><span class="ff1 ls3 ws4">18</span> </div><div class="t m0 x2 h9 y3e ff3 fs0 fc0 sc0 ls1 ws0">Sugerencias d<span class="blank _2"></span>e evaluación <span class="blank _7"> </span><span class="ff1 ls3 ws4">26</span> </div><div class="t m0 x2 h9 y3f ff3 fs0 fc0 sc0 ls1 ws0">Unidad de aprendi<span class="blank _2"></span>zaje I. Expr<span class="blank _2"></span>esiones alg<span class="blank _2"></span>ebraicas y sus op<span class="blank _2"></span>eracion<span class="blank _2"></span>es <span class="blank _8"> </span><span class="ff1 ls3 ws4">31</span> </div><div class="t m0 x2 h9 y40 ff3 fs0 fc0 sc0 ls1 ws0">Unidad de aprendi<span class="blank _2"></span>zaje II. Ecuac<span class="blank _2"></span>iones y desi<span class="blank _2"></span>gualdades <span class="blank _9"> </span><span class="ff1 ls3 ws4">39</span> </div><div class="t m0 x2 h9 y41 ff3 fs0 fc0 sc0 ls1 ws0">Unidad de aprendi<span class="blank _2"></span>zaje III. Fun<span class="blank _2"></span>ciones y varia<span class="blank _2"></span>ción <span class="blank _a"> </span><span class="ff1 ls3 ws4">48</span> </div><div class="t m0 x2 h9 y42 ff3 fs0 fc0 sc0 ls1 ws0">Evidencia integrad<span class="blank _2"></span>ora d<span class="blank _2"></span>el curso <span class="blank _b"> </span><span class="ff1 ls3 ws4">55</span> </div><div class="t m0 x2 h9 y43 ff3 fs0 fc0 sc0 ls1 ws0">Perfil académi<span class="blank _2"></span>co sugerid<span class="blank _2"></span>o <span class="blank _c"> </span><span class="ff1 ls3 ws4">57</span> </div><div class="t m0 x2 h9 y44 ff3 fs0 fc0 sc0 ls1 ws0">Referencias de <span class="blank _2"></span>este progra<span class="blank _2"></span>ma <span class="blank _d"> </span><span class="ff1 ls3 ws4">58</span> </div><div class="t m0 xe he y45 ff2 fs9 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe he y46 ff2 fs9 fc0 sc0 ls1 ws0"> </div><div class="t m0 xe he y47 ff2 fs9 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h2 y48 ff1 fs0 fc0 sc0 ls0 ws0"> <span class="ff2 fs9 ls1"> </span></div></div><a class="l" data-dest-detail="[5,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:608.760000px;width:231.610000px;height:21.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[13,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:593.350000px;width:403.850000px;height:15.410000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[13,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:571.740000px;width:34.780000px;height:21.610000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[17,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:548.140000px;width:115.590000px;height:23.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[18,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:524.540000px;width:260.730000px;height:23.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[26,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:500.940000px;width:151.690000px;height:23.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[31,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:477.340000px;width:373.480000px;height:23.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[39,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:453.730000px;width:299.220000px;height:23.610000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[48,"XYZ",111,502,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:430.130000px;width:266.450000px;height:23.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[55,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:406.530000px;width:179.180000px;height:23.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[57,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:382.930000px;width:148.550000px;height:23.600000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" data-dest-detail="[58,"XYZ",111,678,null]"><div class="d m1" style="border-style:none;position:absolute;left:111.150000px;bottom:363.330000px;width:170.240000px;height:19.600000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">5 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hd y37 ff2 fs8 fc0 sc0 ls1 ws0">Propósito y<span class="blank _0"> </span> descripción gener<span class="blank _0"> </span>al del curso <span class="blank _0"> </span> </div><div class="t m0 x2 hf y38 ff3 fs9 fc0 sc0 ls1 ws0">El <span class="blank _2"></span>estudio <span class="blank _e"></span>del <span class="blank _e"></span>álg<span class="blank _0"> </span>ebra <span class="blank _e"></span>es r<span class="blank _2"></span>elevante <span class="blank _e"></span>e<span class="blank _0"> </span>n <span class="blank _e"></span>la <span class="blank _2"></span>formació<span class="blank _0"> </span>n <span class="blank _e"></span>inicial <span class="blank _2"></span>de <span class="blank _e"></span>los <span class="blank _2"></span>futuros <span class="blank _2"></span>docentes, </div><div class="t m0 x2 hf y49 ff3 fs9 fc0 sc0 ls1 ws0">ya <span class="blank _f"> </span>que <span class="blank _f"> </span>se <span class="blank _f"> </span>ut<span class="blank _0"> </span>iliza <span class="blank _f"> </span>como <span class="blank _f"> </span>una <span class="blank"> </span>herramienta <span class="blank _f"> </span>para <span class="blank _f"> </span>plantea<span class="blank _0"> </span>r <span class="blank _f"> </span>y <span class="blank _f"> </span>resolver <span class="blank"> </span>problemas </div><div class="t m0 x2 hf y4a ff3 fs9 fc0 sc0 ls1 ws0">intramatemáticos <span class="blank _10"> </span>y <span class="blank _10"> </span>extramatemáticos, <span class="blank _10"> </span>además <span class="blank _10"> </span>de <span class="blank _11"> </span>interpretar <span class="blank _11"> </span>y <span class="blank _10"> </span>modela<span class="blank _0"> </span>r </div><div class="t m0 x2 hf y4b ff3 fs9 fc0 sc0 ls1 ws0">distintos <span class="blank _2"></span>fenómenos e <span class="blank _e"></span>in<span class="blank _0"> </span>clusive la <span class="blank _e"></span>toma de <span class="blank _2"></span>decisiones en<span class="blank _2"></span> <span class="blank _2"></span>ciertos casos. <span class="blank _2"></span>Aprender </div><div class="t m0 x2 hf y4c ff3 fs9 fc0 sc0 ls1 ws0">sobre <span class="blank"> </span>esta <span class="blank"> </span>área <span class="blank _12"> </span>de <span class="blank"> </span>las <span class="blank"> </span>matemát<span class="blank _0"> </span>icas <span class="blank"> </span>favorece<span class="blank _0"> </span> <span class="blank"> </span>el <span class="blank"> </span>desarrollo <span class="blank _12"> </span>del <span class="blank"> </span>pensamiento<span class="blank _0"> </span> </div><div class="t m0 x2 hf y4d ff3 fs9 fc0 sc0 ls1 ws0">lógico-abstracto, <span class="blank _13"> </span>ya <span class="blank _13"> </span>que <span class="blank _13"> </span>se <span class="blank _14"> </span>trata <span class="blank _14"> </span>d<span class="blank _0"> </span>e <span class="blank _14"> </span>un <span class="blank _13"> </span>conjunto <span class="blank _13"> </span>estructurado <span class="blank _13"> </span>de <span class="blank _14"> </span>p<span class="blank _0"> </span>arámetros,<span class="blank _0"> </span> </div><div class="t m0 x2 hf y4e ff3 fs9 fc0 sc0 ls1 ws0">variables, incógnitas,<span class="blank _0"> </span> ecuaciones, inecuaciones <span class="blank _0"> </span>y fu<span class="blank _0"> </span>nciones con s<span class="blank _0"> </span>us propiedades </div><div class="t m0 x2 hf y4f ff3 fs9 fc0 sc0 ls1 ws0">y representaciones.<span class="blank _0"> </span> </div><div class="t m0 x2 hf y7 ff3 fs9 fc0 sc0 ls1 ws0">Este <span class="blank _14"> </span>curso <span class="blank _14"> </span>teór<span class="blank _2"></span>ico-práct<span class="blank _0"> </span>ico <span class="blank _14"> </span>de <span class="blank _15"> </span>enseñanza <span class="blank _14"> </span>y <span class="blank _15"> </span>apr<span class="blank _0"> </span>endizaje <span class="blank _14"> </span>de <span class="blank _15"> </span>las <span class="blank _15"> </span>m<span class="blank _0"> </span>atemáticas <span class="blank _14"> </span>se </div><div class="t m0 x2 hf y50 ff3 fs9 fc0 sc0 ls1 ws0">ubica en <span class="blank _0"> </span>la <span class="blank _0"> </span>Fase <span class="blank _0"> </span>2, d<span class="blank _0"> </span>e la <span class="blank _0"> </span>malla <span class="blank _0"> </span>curricular <span class="blank _0"> </span>del <span class="blank _0"> </span>Plan <span class="blank _0"> </span>de <span class="blank _0"> </span>estudio 20<span class="blank _0"> </span>22 y<span class="blank _0"> </span> perte<span class="blank _0"> </span>nece al </div><div class="t m0 x2 hf y51 ff3 fs9 fc0 sc0 ls1 ws0">Trayecto: <span class="blank _0"> </span>Formació<span class="blank _0"> </span>n <span class="blank _0"> </span>pedagógica, <span class="blank _0"> </span>d<span class="blank _0"> </span>idáctica <span class="blank _0"> </span>e <span class="blank _0"> </span>inte<span class="blank _0"> </span>rdiscip<span class="blank _0"> </span>linar. <span class="blank _0"> </span>Se <span class="blank _0"> </span>articula <span class="blank _0"> </span>con <span class="blank _15"> </span>l<span class="blank _2"></span>os </div><div class="t m0 x2 hf y52 ff3 fs9 fc0 sc0 ls1 ws0">cursos: <span class="blank _13"> </span><span class="ff4">Sentido <span class="blank _14"> </span>numéri<span class="blank _0"> </span>co <span class="blank _14"> </span>y <span class="blank _13"> </span>teoría <span class="blank _14"> </span>de <span class="blank _13"> </span>la <span class="blank _14"> </span>aritmética, <span class="blank _13"> </span>Trigonometría, <span class="blank _13"> </span>Geometrí<span class="blank _0"> </span>a </span></div><div class="t m0 x2 hf y53 ff4 fs9 fc0 sc0 ls1 ws0">analítica, <span class="blank"> </span>Cálculo <span class="blank _f"> </span>diferencial, <span class="blank"> </span>Cálculo <span class="blank _f"> </span>integr<span class="blank _0"> </span>al, <span class="blank"> </span>Metodologías <span class="blank _f"> </span>activas <span class="blank"> </span>para <span class="blank"> </span>la </div><div class="t m0 x2 hf y54 ff4 fs9 fc0 sc0 ls1 ws0">interdisciplinariedad, <span class="blank _16"> </span>Didáctica <span class="blank _16"> </span>de <span class="blank _17"> </span>las <span class="blank _16"> </span>matemáticas <span class="blank _17"> </span>en <span class="blank _16"> </span>educación <span class="blank _16"> </span>b<span class="blank _0"> </span>ásica, </div><div class="t m0 x2 hf y55 ff4 fs9 fc0 sc0 ls1 ws0">Análisis <span class="blank _0"> </span>y <span class="blank _0"> </span>desarrollo <span class="blank _0"> </span>curricular, <span class="blank _0"> </span>Soportes <span class="blank _0"> </span>tecn<span class="blank _0"> </span>ológicos <span class="blank _0"> </span>para <span class="blank _0"> </span>la <span class="blank _0"> </span>enseñanza <span class="blank _0"> </span>de <span class="blank _0"> </span>las<span class="blank _0"> </span> </div><div class="t m0 x2 hf y56 ff4 fs9 fc0 sc0 ls1 ws5">matemáticas<span class="ff3 ws0">,<span class="blank _0"> </span> y <span class="blank _e"></span>es de <span class="blank _2"></span>suma importancia para <span class="blank _2"></span>el Trayecto <span class="blank _2"></span>de práctica <span class="blank _2"></span>profesional </span></div><div class="t m0 x2 hf y57 ff3 fs9 fc0 sc0 ls1 ws0">y saber docente.<span class="blank _0"> </span> </div><div class="t m0 x2 hf y58 ff3 fs9 fc0 sc0 ls1 ws0">En <span class="blank _16"> </span>este <span class="blank _18"> </span>curso <span class="blank _16"> </span>se <span class="blank _18"> </span>abordan <span class="blank _16"> </span>las <span class="blank _18"> </span>expresiones <span class="blank _18"> </span>algebraicas <span class="blank _18"> </span>y <span class="blank _16"> </span>sus <span class="blank _18"> </span>operaciones; </div><div class="t m0 x2 hf y59 ff3 fs9 fc0 sc0 ls1 ws0">ecuaciones <span class="blank"> </span>y <span class="blank _f"> </span>desigualdades, <span class="blank"> </span>así <span class="blank _f"> </span>como <span class="blank _f"> </span>las <span class="blank _f"> </span>funciones <span class="blank"> </span>y <span class="blank _f"> </span>variación. <span class="blank"> </span>Permitirá <span class="blank _f"> </span>al </div><div class="t m0 x2 hf y5a ff3 fs9 fc0 sc0 ls1 ws0">docente <span class="blank _14"> </span>en <span class="blank _15"> </span>formación <span class="blank _14"> </span>un <span class="blank _14"> </span>estudio <span class="blank _15"> </span>más <span class="blank _14"> </span>profundo <span class="blank _14"> </span>del <span class="blank _15"> </span>álgebra <span class="blank _14"> </span>como <span class="blank _15"> </span>un <span class="blank _14"> </span>sistema </div><div class="t m0 x2 hf y5b ff3 fs9 fc0 sc0 ls1 ws0">matemático <span class="blank _10"> </span>de <span class="blank _10"> </span>sig<span class="blank _0"> </span>nos, <span class="blank _10"> </span>para <span class="blank _10"> </span>sentar <span class="blank _10"> </span>las <span class="blank _19"> </span>bases <span class="blank _10"> </span>de <span class="blank _10"> </span>cursos <span class="blank _19"> </span>posteriores <span class="blank _10"> </span>de<span class="blank _0"> </span> </div><div class="t m0 x2 hf y5c ff3 fs9 fc0 sc0 ls1 ws0">matemáticas.<span class="blank _0"> </span> </div><div class="t m0 x2 hf y5d ff3 fs9 fc0 sc0 ls1 ws0">Con <span class="blank"> </span>base <span class="blank"> </span>en <span class="blank"> </span>teorías <span class="blank"> </span>peda<span class="blank _0"> </span>gógicas <span class="blank"> </span>y <span class="blank"> </span>enfoqu<span class="blank _0"> </span>es <span class="blank"> </span>metodológicos <span class="blank _12"> </span>adecuados, <span class="blank"> </span>en </div><div class="t m0 x2 hf y5e ff3 fs9 fc0 sc0 ls1 ws0">semestres posteriores,<span class="blank _0"> </span> el estudiantado podrá diseñar situacio<span class="blank _0"> </span>nes didácticas que </div><div class="t m0 x2 hf y5f ff3 fs9 fc0 sc0 ls1 ws0">favorezcan ambient<span class="blank _0"> </span>es colaborativos para e<span class="blank _0"> </span>l aprendizaje y la toma de decision<span class="blank _0"> </span>es, </div><div class="t m0 x2 hf y60 ff3 fs9 fc0 sc0 ls1 ws0">considerando <span class="blank _1a"> </span>el <span class="blank _1a"> </span>uso <span class="blank _1a"> </span>de <span class="blank _12"> </span>varios <span class="blank _1a"> </span>recursos <span class="blank _1a"> </span>didácticos<span class="blank _0"> </span> <span class="blank _1a"> </span>y <span class="blank _1a"> </span>distintas <span class="blank _1a"> </span>herramientas </div><div class="t m0 x2 hf yf ff3 fs9 fc0 sc0 ls1 ws0">tecnológicas <span class="blank"> </span>tales <span class="blank"> </span>como: <span class="blank _f"> </span>hojas <span class="blank"> </span>de <span class="blank"> </span>cál<span class="blank _2"></span>culo, <span class="blank"> </span>graficadores <span class="blank"> </span>dinámicos, <span class="blank"> </span>etc., <span class="blank _f"> </span>para </div><div class="t m0 x2 hf y61 ff3 fs9 fc0 sc0 ls1 ws0">apoyar <span class="blank _18"> </span>l<span class="blank _0"> </span>as <span class="blank _18"> </span>t<span class="blank _0"> </span>areas <span class="blank _1b"> </span>de <span class="blank _1b"> </span>exploració<span class="blank _0"> </span>n <span class="blank _18"> </span>numé<span class="blank _0"> </span>rica, <span class="blank _1b"> </span>construcción <span class="blank _1b"> </span>y <span class="blank _1b"> </span>opera<span class="blank _0"> </span>ción <span class="blank _18"> </span>de<span class="blank _0"> </span> </div><div class="t m0 x2 hf y62 ff3 fs9 fc0 sc0 ls1 ws0">expresiones <span class="blank _13"> </span>algebraicas, <span class="blank _13"> </span>además <span class="blank _14"> </span>de <span class="blank _13"> </span>analizar <span class="blank _13"> </span>el <span class="blank _14"> </span>compo<span class="blank _0"> </span>rtamiento <span class="blank _13"> </span>de <span class="blank _14"> </span>funcion<span class="blank _0"> </span>es </div><div class="t m0 x2 hf y63 ff3 fs9 fc0 sc0 ls1 ws0">mediante tabulac<span class="blank _0"> </span>ión y graficación.<span class="blank _0"> </span> </div><div class="t m0 x2 hf y64 ff3 fs9 fc0 sc0 ls1 ws0">El <span class="blank _f"> </span>formador <span class="blank _f"> </span>de <span class="blank _1c"> </span>docentes <span class="blank _f"> </span>generará <span class="blank _f"> </span>un <span class="blank _1c"> </span>espac<span class="blank _0"> </span>io <span class="blank _f"> </span>de <span class="blank _1c"> </span>reflexión <span class="blank _f"> </span>en <span class="blank _f"> </span>cuanto <span class="blank _f"> </span>al <span class="blank _1c"> </span>uso </div><div class="t m0 x2 hf y65 ff3 fs9 fc0 sc0 ls1 ws0">didáctico <span class="blank _14"> </span>d<span class="blank _0"> </span>e <span class="blank _14"> </span>los<span class="blank _0"> </span> <span class="blank _14"> </span>errores<span class="blank _0"> </span> <span class="blank _14"> </span>que <span class="blank _13"> </span>se <span class="blank _14"> </span>pon<span class="blank _0"> </span>en <span class="blank _13"> </span>de <span class="blank _14"> </span>manifiesto <span class="blank _13"> </span>por <span class="blank _13"> </span>las <span class="blank _14"> </span>dificultad<span class="blank _0"> </span>es <span class="blank _14"> </span>en <span class="blank _13"> </span>la </div><div class="t m0 x2 hf y66 ff3 fs9 fc0 sc0 ls1 ws0">resolución y comp<span class="blank _0"> </span>robación de los res<span class="blank _0"> </span>ultados.<span class="blank _0"> </span> </div><div class="t m0 x2 h10 y67 ff2 fsa fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h10 y68 ff2 fsa fc0 sc0 ls1 ws0"> </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x2 y69 w3 h11" alt="" src="https://files.passeidireto.com/4cd876ab-f316-4cd9-898c-daeed10b7383/bg6.png"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">6 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h10 y6a ff2 fsa fc0 sc0 ls1 ws0">Propósito general </div><div class="t m0 x2 hf y6b ff3 fs9 fc0 sc0 ls1 ws0">Se es<span class="blank _0"> </span>pera <span class="blank _0"> </span>que e<span class="blank _0"> </span>l <span class="blank _0"> </span>estudiantado <span class="blank _0"> </span>normalista <span class="blank _0"> </span>constr<span class="blank _0"> </span>uya <span class="blank _0"> </span>conocimientos <span class="blank _0"> </span>algebra<span class="blank _0"> </span>icos </div><div class="t m0 x2 hf y6c ff3 fs9 fc0 sc0 ls1 ws0">como <span class="blank _1d"> </span>un <span class="blank _1d"> </span>conjunto <span class="blank _1e"> </span>estructurado <span class="blank _1d"> </span>de <span class="blank _1d"> </span>var<span class="blank _0"> </span>iables, <span class="blank _1d"> </span>parámetros<span class="blank _0"> </span>, <span class="blank _1d"> </span>incógnitas,<span class="blank _0"> </span> </div><div class="t m0 x2 hf y6d ff3 fs9 fc0 sc0 ls1 ws0">ecuaciones, <span class="blank _16"> </span>inecuacion<span class="blank _0"> </span>es <span class="blank _16"> </span>y <span class="blank _16"> </span>funciones <span class="blank _17"> </span>c<span class="blank _0"> </span>on <span class="blank _16"> </span>propiedades <span class="blank _16"> </span>y <span class="blank _16"> </span>representaciones </div><div class="t m0 x2 hf y6e ff3 fs9 fc0 sc0 ls1 ws0">mediante <span class="blank _0"> </span>d<span class="blank _0"> </span>iversos <span class="blank _0"> </span>recu<span class="blank _0"> </span>rsos <span class="blank _1f"> </span>didácticos <span class="blank _0"> </span>incluy<span class="blank _0"> </span>endo<span class="blank _0"> </span> <span class="blank _0"> </span>e<span class="blank _0"> </span>l <span class="blank _0"> </span>uso <span class="blank _1f"> </span>de <span class="blank _0"> </span>la <span class="blank _1f"> </span>tecnología <span class="blank _1f"> </span>de <span class="blank _0"> </span>tal<span class="blank _0"> </span> </div><div class="t m0 x2 hf y6f ff3 fs9 fc0 sc0 ls1 ws0">forma que sean capaces de pl<span class="blank _2"></span>antear y resolver problemas, interpretar y modelar </div><div class="t m0 x2 hf y70 ff3 fs9 fc0 sc0 ls1 ws0">fenómenos de <span class="blank _2"></span>distintas disciplinas, así <span class="blank _e"></span>como de <span class="blank _2"></span>actividades que <span class="blank _2"></span>se pr<span class="blank _2"></span>esenten en </div><div class="t m0 x2 he y71 ff3 fs9 fc0 sc0 ls1 ws0">su comunidad.<span class="blank _0"> </span><span class="ff2"> </span></div><div class="t m0 x2 h10 y72 ff2 fsa fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h10 y73 ff2 fsa fc0 sc0 ls1 ws0">Antecedentes <span class="ff3"> </span></div><div class="t m0 x2 hf y74 ff3 fs9 fc0 sc0 ls1 ws0">De <span class="blank _14"> </span>manera <span class="blank _14"> </span>general, <span class="blank _14"> </span>el <span class="blank _14"> </span>estudio <span class="blank _14"> </span>del <span class="blank _15"> </span>á<span class="blank _0"> </span>lgebra <span class="blank _14"> </span>es <span class="blank _14"> </span>relevante <span class="blank _14"> </span>en <span class="blank _14"> </span>la <span class="blank _15"> </span>fo<span class="blank _0"> </span>rmación <span class="blank _14"> </span>de <span class="blank _14"> </span>los </div><div class="t m0 x2 hf y75 ff3 fs9 fc0 sc0 ls1 ws0">futuros docentes de <span class="blank _0"> </span>matemáticas,<span class="blank _0"> </span> ya que se utiliza como una herramien<span class="blank _0"> </span>ta para: </div><div class="t m0 x2 hf y76 ff3 fs9 fc0 sc0 ls1 ws0">representar <span class="blank _11"> </span>e <span class="blank _11"> </span>interpretar <span class="blank _11"> </span>situaciones, <span class="blank _11"> </span>propiedad<span class="blank _0"> </span>es, <span class="blank _11"> </span>patrones <span class="blank _11"> </span>y <span class="blank _11"> </span>relaciones; </div><div class="t m0 x2 hf y77 ff3 fs9 fc0 sc0 ls1 ws0">plantear y <span class="blank _e"></span>r<span class="blank _0"> </span>esolver problemas intramatemáticos y extramatemáticos; y, <span class="blank _2"></span>modelar </div><div class="t m0 x2 hf y78 ff3 fs9 fc0 sc0 ls1 ws0">fenómenos asociados con distintas <span class="blank _2"></span>disciplinas, así como <span class="blank _2"></span>de los <span class="blank _e"></span>qu<span class="blank _0"> </span>e se <span class="blank _2"></span>presentan </div><div class="t m0 x2 hf y79 ff3 fs9 fc0 sc0 ls1 ws0">en su comunidad.<span class="blank _0"> </span> </div><div class="t m0 x2 hf y7a ff3 fs9 fc0 sc0 ls1 ws0">Para <span class="blank _14"> </span>Cedillo <span class="blank _13"> </span>(1999), <span class="blank _14"> </span>el <span class="blank _14"> </span>ál<span class="blank _0"> </span>gebra <span class="blank _14"> </span>puede <span class="blank _13"> </span>concebirse <span class="blank _14"> </span>como<span class="blank _0"> </span> <span class="blank _14"> </span>el <span class="blank _14"> </span>est<span class="blank _0"> </span>udio <span class="blank _14"> </span>de <span class="blank _13"> </span>reglas <span class="blank _14"> </span>de </div><div class="t m0 x2 hf y7b ff3 fs9 fc0 sc0 ls1 ws0">manipulación <span class="blank _14"> </span>simbólica <span class="blank _14"> </span>compleme<span class="blank _0"> </span>ntado <span class="blank _14"> </span>por <span class="blank _15"> </span>el <span class="blank _14"> </span>desarrollo <span class="blank _15"> </span>d<span class="blank _0"> </span>e <span class="blank _15"> </span>hab<span class="blank _0"> </span>ilidades <span class="blank _14"> </span>para </div><div class="t m0 x2 hf y7c ff3 fs9 fc0 sc0 ls1 ws0">usar <span class="blank _2"></span>eficientemente<span class="blank _0"> </span> <span class="blank _2"></span>las <span class="blank _e"></span>r<span class="blank _0"> </span>epresentaciones algebraicas, l<span class="blank _2"></span>a <span class="blank _2"></span>tabulación y <span class="blank _e"></span>graficación<span class="blank _0"> </span> </div><div class="t m0 x2 hf y7d ff3 fs9 fc0 sc0 ls1 ws0">de <span class="blank _2"></span>funciones, <span class="blank _2"></span>la <span class="blank _e"></span>ex<span class="blank _0"> </span>presión y <span class="blank _e"></span>justificación de <span class="blank _e"></span>generalizac<span class="blank _0"> </span>iones, y, <span class="blank _e"></span>el <span class="blank _2"></span>planteamiento </div><div class="t m0 x2 hf y27 ff3 fs9 fc0 sc0 ls1 ws0">y resolución de p<span class="blank _0"> </span>roblemas. <span class="blank _0"> </span> </div><div class="t m0 x2 hf y7e ff3 fs9 fc0 sc0 ls1 ws0">Según <span class="blank _f"> </span>MacGrego<span class="blank _0"> </span>r <span class="blank _f"> </span>(2004), <span class="blank"> </span>gran<span class="blank _2"></span> <span class="blank _f"> </span>parte <span class="blank _f"> </span>de <span class="blank _f"> </span>la <span class="blank _f"> </span>comuni<span class="blank _0"> </span>dad <span class="blank _f"> </span>de <span class="blank _f"> </span>investigad<span class="blank _0"> </span>ores <span class="blank _f"> </span>en </div><div class="t m0 x2 hf y7f ff3 fs9 fc0 sc0 ls1 ws0">educación matemátic<span class="blank _0"> </span>a considera <span class="blank _0"> </span>que el álgebra es:<span class="blank _0"> </span> </div><div class="t m0 x11 h12 y80 ff5 fs9 fc0 sc0 ls4">-<span class="ff6 ls5 ws0"> <span class="ff3 ls1">una <span class="blank _12"> </span>parte <span class="blank _12"> </span>necesaria <span class="blank _12"> </span>del <span class="blank _12"> </span>conocimiento <span class="blank _12"> </span>gener<span class="blank _0"> </span>al <span class="blank _12"> </span>de <span class="blank"> </span>m<span class="blank _0"> </span>iembros <span class="blank _12"> </span>de <span class="blank _12"> </span>una </span></span></div><div class="t m0 x12 hf y81 ff3 fs9 fc0 sc0 ls1 ws0">sociedad democ<span class="blank _0"> </span>rática y educada,<span class="blank _0"> </span> </div><div class="t m0 x11 h12 y82 ff5 fs9 fc0 sc0 ls4">-<span class="ff6 ls5 ws0"> <span class="ff3 ls1">un prerrequis<span class="blank _0"> </span>ito para <span class="blank _0"> </span>futuros <span class="blank _0"> </span>estudios de mate<span class="blank _0"> </span>máticas<span class="blank _0"> </span>, ciertos <span class="blank _0"> </span>cursos <span class="blank _0"> </span>de </span></span></div><div class="t m0 x12 hf y83 ff3 fs9 fc0 sc0 ls1 ws0">educación superior y m<span class="blank _0"> </span>uchos campos<span class="blank _0"> </span> de empleo,<span class="blank _0"> </span> </div><div class="t m0 x11 h12 y84 ff5 fs9 fc0 sc0 ls4">-<span class="ff6 ls5 ws0"> <span class="ff3 ls1">un <span class="blank _0"> </span>compo<span class="blank _0"> </span>nente <span class="blank _0"> </span>cruc<span class="blank _0"> </span>ial <span class="blank _1f"> </span>de <span class="blank _0"> </span>la <span class="blank _0"> </span>a<span class="blank _0"> </span>lfabetización <span class="blank _1f"> </span>mat<span class="blank _0"> </span>emática, <span class="blank _1f"> </span>que <span class="blank _0"> </span>se <span class="blank _1f"> </span>basa <span class="blank _1f"> </span>en </span></span></div><div class="t m0 x12 hf y85 ff3 fs9 fc0 sc0 ls1 ws0">un futuro tecnológico y <span class="blank _0"> </span>el progreso ec<span class="blank _0"> </span>onómico <span class="blank _0"> </span>de la nación, y,<span class="blank _0"> </span> </div><div class="t m0 x11 h12 y86 ff5 fs9 fc0 sc0 ls4">-<span class="ff6 ls5 ws0"> <span class="ff3 ls1">un camino eficiente p<span class="blank _0"> </span>ara resolver ci<span class="blank _0"> </span>ertos tipos de pro<span class="blank _0"> </span>ble<span class="blank _0"> </span>mas, </span></span></div><div class="t m0 x11 h13 y87 ff5 fsa fc3 sc0 ls1 ws6">-<span class="ff6 ls6 ws0"> <span class="ff3 fs9 fc0 ls1">promueve <span class="blank _19"> </span>la <span class="blank _10"> </span>activida<span class="blank _0"> </span>d <span class="blank _19"> </span>intelectual <span class="blank _10"> </span>de <span class="blank _19"> </span>gener<span class="blank _0"> </span>alización, <span class="blank _19"> </span>así <span class="blank _10"> </span>como <span class="blank _19"> </span>el </span></span></div><div class="t m0 x12 h14 y88 ff3 fs9 fc0 sc0 ls1 ws0">pensamiento organ<span class="blank _0"> </span>izado y el razo<span class="blank _0"> </span>namiento ded<span class="blank _0"> </span>uctivo.<span class="blank _0"> </span><span class="fc4 ls7"> </span><span class="fsa fc3"> </span></div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">7 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hf y89 ff3 fs9 fc0 sc0 ls1 ws0">Socas <span class="blank _2"></span>(2011) <span class="blank _e"></span>analizó <span class="blank _2"></span>varias <span class="blank _2"></span>investigaciones <span class="blank _2"></span>que <span class="blank _e"></span>se han <span class="blank _e"></span>llevado <span class="blank _2"></span>a <span class="blank _e"></span>cabo <span class="blank _2"></span>en <span class="blank _e"></span>el mundo </div><div class="t m0 x2 hf y8a ff3 fs9 fc0 sc0 ls1 ws0">y <span class="blank _1f"> </span>afirmó <span class="blank _15"> </span>que <span class="blank _1f"> </span>para <span class="blank _15"> </span>lograr <span class="blank _15"> </span>un <span class="blank _1f"> </span>mejor <span class="blank _15"> </span>desarro<span class="blank _0"> </span>llo <span class="blank _1f"> </span>del <span class="blank _1f"> </span>c<span class="blank _0"> </span>urrículo <span class="blank _15"> </span>de <span class="blank _15"> </span>álgebra <span class="blank _1f"> </span>se<span class="blank _0"> </span> <span class="blank _1f"> </span>deben </div><div class="t m0 x2 hf y8b ff3 fs9 fc0 sc0 ls1 ws0">considerar los <span class="blank _2"></span>siguientes<span class="blank _0"> </span> aspectos: <span class="blank _2"></span>el <span class="blank _2"></span>lenguaje, las múl<span class="blank _2"></span>tiples representaciones, la </div><div class="t m0 x2 hf y8c ff3 fs9 fc0 sc0 ls1 ws0">semiótica, <span class="blank _e"></span>los <span class="blank _2"></span>mediadores <span class="blank _e"></span>tecnológicos,<span class="blank _0"> </span> <span class="blank _e"></span>la <span class="blank _e"></span>contextualizac<span class="blank _0"> </span>ión, <span class="blank _e"></span>las <span class="blank _e"></span>dificu<span class="blank _0"> </span>ltades <span class="blank _e"></span>y <span class="blank _e"></span>los<span class="blank _0"> </span> </div><div class="t m0 x2 hf y8d ff3 fs9 fc0 sc0 ls1 ws0">errores, <span class="blank"> </span>l<span class="blank _2"></span>a <span class="blank _f"> </span>Preálg<span class="blank _0"> </span>ebra, <span class="blank"> </span>el<span class="blank _2"></span> <span class="blank _f"> </span>énfasis <span class="blank"> </span>en <span class="blank _f"> </span>nuevos <span class="blank"> </span>contenidos <span class="blank"> </span>(<span class="blank _2"></span>c<span class="blank _0"> </span>aos, <span class="blank"> </span>grafos, <span class="blank _f"> </span>etc.), <span class="blank"> </span>la </div><div class="t m0 x2 hf y8e ff3 fs9 fc0 sc0 ls1 ws0">enculturación, <span class="blank _18"> </span>los <span class="blank _18"> </span>procesos <span class="blank _18"> </span>de <span class="blank _18"> </span>pensamiento <span class="blank _18"> </span>algebraico, <span class="blank _18"> </span>el <span class="blank _18"> </span>empiris<span class="blank _0"> </span>mo, <span class="blank _18"> </span>las </div><div class="t m0 x2 hf y8f ff3 fs9 fc0 sc0 ls1 ws0">actividades <span class="blank _e"></span>y l<span class="blank _2"></span>os <span class="blank _e"></span>proy<span class="blank _0"> </span>ectos <span class="blank _2"></span>open-ended. Estas <span class="blank _e"></span>aportaciones <span class="blank _e"></span>las or<span class="blank _2"></span>ganizó <span class="blank _2"></span>en <span class="blank _e"></span>cinco </div><div class="t m0 x2 hf y90 ff3 fs9 fc0 sc0 ls1 ws0">perspectivas: <span class="blank _1f"> </span>(1.) <span class="blank _1f"> </span>la <span class="blank _1f"> </span>relación <span class="blank _1f"> </span>entre <span class="blank _1f"> </span>la <span class="blank _1f"> </span>aritmética <span class="blank _1f"> </span>y <span class="blank _1f"> </span>el <span class="blank _1f"> </span>álgebra, <span class="blank _1f"> </span>(2.) <span class="blank _1f"> </span>las <span class="blank _0"> </span>d<span class="blank _0"> </span>ific<span class="blank _0"> </span>ul<span class="blank _0"> </span>tades <span class="blank _0"> </span>y </div><div class="t m0 x2 hf y91 ff3 fs9 fc0 sc0 ls1 ws0">errores, <span class="blank _15"> </span>(3.) <span class="blank _15"> </span>las <span class="blank _15"> </span>fuentes <span class="blank _14"> </span>de <span class="blank _1f"> </span>significa<span class="blank _0"> </span>do, <span class="blank _15"> </span>(4.) <span class="blank _15"> </span>los <span class="blank _15"> </span>mediad<span class="blank _0"> </span>ores <span class="blank _15"> </span>tecnológico<span class="blank _0"> </span>s, <span class="blank _15"> </span>y, <span class="blank _15"> </span>(5.) <span class="blank _15"> </span>la </div><div class="t m0 x2 hf y92 ff3 fs9 fc0 sc0 ls1 ws0">organización de <span class="blank _0"> </span>la enseñanza y la form<span class="blank _0"> </span>ación del prof<span class="blank _0"> </span>esorado. <span class="blank _0"> </span> </div><div class="t m0 x2 hf y93 ff3 fs9 fc0 sc0 ls1 ws0">El <span class="blank _1f"> </span>logro <span class="blank _15"> </span>e<span class="blank _0"> </span>n <span class="blank _1f"> </span>el <span class="blank _15"> </span>apren<span class="blank _0"> </span>dizaje <span class="blank _15"> </span>del <span class="blank _15"> </span>álgebra, <span class="blank _15"> </span>depende<span class="blank _0"> </span> <span class="blank _1f"> </span>de <span class="blank _15"> </span>la <span class="blank _15"> </span>capacida<span class="blank _0"> </span>d <span class="blank _1f"> </span>que <span class="blank _15"> </span>tienen <span class="blank _15"> </span>las<span class="blank _0"> </span> </div><div class="t m0 x2 hf y94 ff3 fs9 fc0 sc0 ls1 ws0">personas <span class="blank _1f"> </span>que <span class="blank _1f"> </span>la <span class="blank _15"> </span>aprend<span class="blank _0"> </span>en, <span class="blank _1f"> </span>de <span class="blank _1f"> </span>lograr <span class="blank _1f"> </span>una <span class="blank _15"> </span>transición <span class="blank _15"> </span>del <span class="blank _1f"> </span>pensamiento <span class="blank _15"> </span>numérico </div><div class="t m0 x2 hf y95 ff3 fs9 fc0 sc0 ls1 ws0">al <span class="blank _0"> </span>pensamiento<span class="blank _0"> </span> <span class="blank _0"> </span>algebrai<span class="blank _0"> </span>co; <span class="blank _0"> </span>según <span class="blank _0"> </span>Socas<span class="blank _0"> </span>, <span class="blank _0"> </span>Pala<span class="blank _0"> </span>rea <span class="blank _0"> </span>y <span class="blank _0"> </span>Ruan<span class="blank _0"> </span>o, <span class="blank _0"> </span>(2003<span class="blank _0"> </span>), <span class="blank _0"> </span>Molin<span class="blank _0"> </span>a <span class="blank _0"> </span>(2009) </div><div class="t m0 x2 hf y96 ff3 fs9 fc0 sc0 ls1 ws0">y <span class="blank _1f"> </span>Papin<span class="blank _0"> </span>i <span class="blank _1f"> </span>(2003) <span class="blank _15"> </span>esta <span class="blank _15"> </span>transició<span class="blank _0"> </span>n <span class="blank _1f"> </span>sigue <span class="blank _15"> </span>repr<span class="blank _0"> </span>esentando <span class="blank _1f"> </span>u<span class="blank _0"> </span>n <span class="blank _15"> </span>problema <span class="blank _15"> </span>crucial <span class="blank _15"> </span>en <span class="blank _1f"> </span>las<span class="blank _0"> </span> </div><div class="t m0 x2 hf y40 ff3 fs9 fc0 sc0 ls1 ws0">Matemáticas escolares<span class="blank _0"> </span>, incluso llegan a <span class="blank _0"> </span><span class="ff7">afirmar que \u201cla entrada e<span class="blank _0"> </span>n el mundo del </span></div><div class="t m0 x2 hf y97 ff3 fs9 fc0 sc0 ls1 ws0">Álgebra <span class="blank _12"> </span>supone <span class="blank _12"> </span>para <span class="blank _12"> </span>los <span class="blank _12"> </span>alumnos <span class="blank"> </span>qu<span class="blank _0"> </span>e <span class="blank _12"> </span>vienen <span class="blank _12"> </span>de <span class="blank"> </span>práct<span class="blank _0"> </span>icas <span class="blank _12"> </span>aritméticas <span class="blank _12"> </span>una </div><div class="t m0 x2 hf y98 ff7 fs9 fc0 sc0 ls1 ws0">ruptura <span class="blank _1f"> </span>cognitiva <span class="blank _1f"> </span>esencial\u201d <span class="blank _1f"> </span>(Papini, <span class="blank _1f"> </span>2003, <span class="blank _1f"> </span>p. <span class="blank _1f"> </span>44). <span class="blank _1f"> </span>Una <span class="blank _0"> </span>de <span class="blank _1f"> </span>las <span class="blank _1f"> </span>razones <span class="blank _1f"> </span>para <span class="blank _1f"> </span>que <span class="blank _1f"> </span>se </div><div class="t m0 x2 hf y99 ff3 fs9 fc0 sc0 ls1 ws0">propicie <span class="blank _13"> </span>esta <span class="blank _13"> </span>dificultad <span class="blank _13"> </span>tiende <span class="blank _13"> </span>a <span class="blank _13"> </span>ser <span class="blank _13"> </span>la <span class="blank _14"> </span>vis<span class="blank _0"> </span>ión <span class="blank _13"> </span>que <span class="blank _13"> </span>tenemos <span class="blank _13"> </span>so<span class="blank _0"> </span>bre <span class="blank _13"> </span>los <span class="blank _13"> </span>procesos </div><div class="t m0 x2 hf y9a ff3 fs9 fc0 sc0 ls1 ws0">educativos, <span class="blank _15"> </span>aprende<span class="blank _0"> </span>r <span class="blank _1f"> </span>a <span class="blank _15"> </span>t<span class="blank _0"> </span>ravés <span class="blank _15"> </span>de <span class="blank _15"> </span>memorización<span class="blank _0"> </span> <span class="blank _1f"> </span>y <span class="blank _15"> </span>repet<span class="blank _0"> </span>ición, <span class="blank _15"> </span>concordan<span class="blank _0"> </span>do <span class="blank _1f"> </span>co<span class="blank _0"> </span>n </div><div class="t m0 x2 hf y9b ff3 fs9 fc0 sc0 ls1 ws0">Kieran <span class="blank _13"> </span>(1992) <span class="blank _14"> </span>qui<span class="blank _0"> </span>en <span class="blank _14"> </span>es<span class="blank _0"> </span>tablece <span class="blank _14"> </span>qu<span class="blank _0"> </span>e <span class="blank _14"> </span>l<span class="blank _0"> </span>os <span class="blank _14"> </span>estud<span class="blank _0"> </span>iantes <span class="blank _13"> </span>generalmente <span class="blank _13"> </span>recurren <span class="blank _13"> </span>a <span class="blank _14"> </span>la<span class="blank _0"> </span> </div><div class="t m0 x2 hf y9c ff3 fs9 fc0 sc0 ls1 ws0">memorización <span class="blank _20"> </span>de <span class="blank _20"> </span>reglas <span class="blank _21"> </span>y <span class="blank _21"> </span>proce<span class="blank _0"> </span>dimientos<span class="blank _0"> </span> <span class="blank _21"> </span>para <span class="blank _20"> </span>satisfacer <span class="blank _21"> </span>su <span class="blank _20"> </span>falta <span class="blank _21"> </span>de </div><div class="t m0 x2 hf y9d ff3 fs9 fc0 sc0 ls1 ws0">comprensión <span class="blank _0"> </span>del <span class="blank _0"> </span>álge<span class="blank _0"> </span>bra, <span class="blank _0"> </span>llegando <span class="blank _0"> </span>a <span class="blank _0"> </span>la <span class="blank _0"> </span>noción <span class="blank _0"> </span>d<span class="blank _0"> </span>e <span class="blank _0"> </span>que es<span class="blank _0"> </span>e <span class="blank _0"> </span>proceso <span class="blank _0"> </span>es <span class="blank _0"> </span>la <span class="blank _0"> </span>esencia </div><div class="t m0 x2 hf y9e ff3 fs9 fc0 sc0 ls1 ws0">de esta área. </div><div class="t m0 x2 hf y9f ff3 fs9 fc0 sc0 ls1 ws0">Es <span class="blank _14"> </span>necesario <span class="blank _15"> </span>dar <span class="blank _14"> </span>cuenta <span class="blank _14"> </span>de <span class="blank _15"> </span>algunos <span class="blank _14"> </span>conflictos <span class="blank _14"> </span>que <span class="blank _15"> </span>oca<span class="blank _0"> </span>siona <span class="blank _14"> </span>el <span class="blank _15"> </span>aprendi<span class="blank _0"> </span>zaje <span class="blank _15"> </span>de<span class="blank _0"> </span>l </div><div class="t m0 x2 hf ya0 ff3 fs9 fc0 sc0 ls1 ws0">Álgebra, <span class="blank _1f"> </span>por <span class="blank _0"> </span>u<span class="blank _0"> </span>n <span class="blank _0"> </span>la<span class="blank _0"> </span>do, <span class="blank _0"> </span>en<span class="blank _0"> </span> <span class="blank _0"> </span>concor<span class="blank _0"> </span>dancia <span class="blank _1f"> </span>con <span class="blank _0"> </span>U<span class="blank _0"> </span>rsini, <span class="blank _1f"> </span>Escareño, <span class="blank _1f"> </span>Montes <span class="blank _1f"> </span>y <span class="blank _1f"> </span>Trigueros<span class="blank _0"> </span> </div><div class="t m0 x2 hf ya1 ff3 fs9 fc0 sc0 ls1 ws0">(2005), <span class="blank"> </span>existen <span class="blank"> </span>d<span class="blank _0"> </span>ificulta<span class="blank _0"> </span>des <span class="blank"> </span>para <span class="blank"> </span>dife<span class="blank _0"> </span>renciar <span class="blank"> </span>los<span class="blank _0"> </span> <span class="blank"> </span>distintos <span class="blank"> </span>usos <span class="blank"> </span>d<span class="blank _0"> </span>e <span class="blank"> </span>la <span class="blank"> </span>variabl<span class="blank _0"> </span>e, </div><div class="t m0 x2 hf ya2 ff3 fs9 fc0 sc0 ls1 ws0">interpretar <span class="blank _14"> </span>la <span class="blank _13"> </span>letra <span class="blank _14"> </span>cuando <span class="blank _14"> </span>aparece <span class="blank _14"> </span>ac<span class="blank _0"> </span>ompaña<span class="blank _0"> </span>da <span class="blank _14"> </span>de <span class="blank _14"> </span>un <span class="blank _14"> </span>coe<span class="blank _0"> </span>ficiente <span class="blank _14"> </span>o <span class="blank _14"> </span>tiene <span class="blank _14"> </span>un<span class="blank _0"> </span> </div><div class="t m0 x2 hf ya3 ff3 fs9 fc0 sc0 ls1 ws0">exponente, <span class="blank _20"> </span>para <span class="blank _20"> </span>aceptar <span class="blank _20"> </span>expresiones <span class="blank _20"> </span>abiert<span class="blank _0"> </span>as <span class="blank _20"> </span>como <span class="blank _20"> </span>respuestas <span class="blank _20"> </span>válidas </div><div class="t m0 x2 hf ya4 ff3 fs9 fc0 sc0 ls1 ws0">(necesidad <span class="blank _1b"> </span>de <span class="blank _18"> </span>c<span class="blank _0"> </span>lausura), <span class="blank _1b"> </span>tendencia <span class="blank _1b"> </span>a <span class="blank _18"> </span>ign<span class="blank _0"> </span>orar <span class="blank _18"> </span>la <span class="blank _1b"> </span>letra <span class="blank _11"> </span>que <span class="blank _18"> </span>repr<span class="blank _0"> </span>esenta <span class="blank _1b"> </span>un </div><div class="t m0 x2 hf y2b ff3 fs9 fc0 sc0 ls1 ws0">parámetro <span class="blank _13"> </span>o <span class="blank _14"> </span>asigna<span class="blank _0"> </span>rle <span class="blank _13"> </span>un <span class="blank _14"> </span>valor <span class="blank _13"> </span>y <span class="blank _13"> </span>para <span class="blank _14"> </span>recon<span class="blank _0"> </span>ocer <span class="blank _13"> </span>la <span class="blank _14"> </span>variaci<span class="blank _0"> </span>ón <span class="blank _14"> </span>co<span class="blank _0"> </span>njunta <span class="blank _13"> </span>de <span class="blank _14"> </span>dos </div><div class="t m0 x2 hf ya5 ff3 fs9 fc0 sc0 ls1 ws0">variables relacionadas;<span class="blank _0"> </span> y por otro, el dominio afe<span class="blank _0"> </span>ctivo que existe hac<span class="blank _0"> </span>ia esta rama </div><div class="t m0 x2 hf ya6 ff3 fs9 fc0 sc0 ls1 ws0">de <span class="blank _0"> </span>las <span class="blank _1f"> </span>matemáticas, <span class="blank _1f"> </span>la <span class="blank _0"> </span>gente <span class="blank _1f"> </span>piensa <span class="blank _1f"> </span>en <span class="blank _0"> </span>la <span class="blank _1f"> </span>aritmética <span class="blank _1f"> </span>como <span class="blank _0"> </span>algo <span class="blank _1f"> </span>fácil, <span class="blank _0"> </span>pu<span class="blank _0"> </span>es <span class="blank _0"> </span>tra<span class="blank _1f"> </span>ta </div><div class="t m0 x2 hf ya7 ff3 fs9 fc0 sc0 ls1 ws0">solo <span class="blank _16"> </span>con <span class="blank _16"> </span>números, <span class="blank _16"> </span>y <span class="blank _18"> </span>el <span class="blank _16"> </span>álgebra <span class="blank _16"> </span>co<span class="blank _0"> </span>mo <span class="blank _16"> </span>difícil, <span class="blank _16"> </span>porque <span class="blank _16"> </span>i<span class="blank _0"> </span>ntegra <span class="blank _16"> </span>letras<span class="blank _0"> </span> <span class="blank _16"> </span>como </div><div class="t m0 x2 hf ya8 ff3 fs9 fc0 sc0 ls1 ws0">expresiones gene<span class="blank _0"> </span>ralizadas (Schliem<span class="blank _0"> </span>ann, Carrahe<span class="blank _0"> </span>r y Brizuela, 2011).<span class="blank _1f"> </span> </div><div class="t m0 x2 hf ya9 ff3 fs9 fc0 sc0 ls1 ws0">La <span class="blank _13"> </span>construc<span class="blank _0"> </span>ción <span class="blank _1c"> </span>de <span class="blank _13"> </span>pro<span class="blank _0"> </span>blemas <span class="blank _1c"> </span>que <span class="blank _1c"> </span>permitan <span class="blank _13"> </span>l<span class="blank _0"> </span>a <span class="blank _13"> </span>transic<span class="blank _0"> </span>ión <span class="blank _13"> </span>d<span class="blank _0"> </span>e <span class="blank _13"> </span>la <span class="blank _1c"> </span>Aritmética <span class="blank _1c"> </span>al </div><div class="t m0 x2 hf yaa ff3 fs9 fc0 sc0 ls1 ws0">Álgebra <span class="blank _f"> </span>much<span class="blank _0"> </span>as <span class="blank _f"> </span>de <span class="blank"> </span>las <span class="blank _f"> </span>veces <span class="blank"> </span>no <span class="blank _1c"> </span>cubr<span class="blank _0"> </span>en <span class="blank"> </span>los <span class="blank _f"> </span>requerimientos <span class="blank"> </span>necesarios <span class="blank"> </span>p<span class="blank _2"></span>ara </div><div class="t m0 x2 hf yab ff3 fs9 fc0 sc0 ls1 ws0">lograrlo, </div><div class="t m0 x13 hb yac ff4 fs7 fc0 sc0 ls1 ws0">es <span class="blank _0"> </span>muy <span class="blank _0"> </span>importante conservar <span class="blank _0"> </span>las <span class="blank _0"> </span>habilidades <span class="blank _0"> </span>aritméticas e <span class="blank _0"> </span>ir <span class="blank _0"> </span>construyendo <span class="blank _0"> </span>poco <span class="blank _0"> </span>a </div><div class="t m0 x13 hb yad ff4 fs7 fc0 sc0 ls1 ws0">poco <span class="blank"> </span>las <span class="blank"> </span>habilidades <span class="blank _22"> </span>algebraicas. <span class="blank"> </span>Considerando <span class="blank"> </span>las <span class="blank"> </span>estadísticas <span class="blank"> </span>de <span class="blank"> </span>evaluación, </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">8 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x13 hb yae ff4 fs7 fc0 sc0 ls1 ws0">podemos asegurar que a muchos estudiantes <span class="blank _2"></span>de enseñanza media les sucede que </div><div class="t m0 x13 hb yaf ff4 fs7 fc0 sc0 ls1 ws0">al <span class="blank"> </span>pasar <span class="blank _22"> </span>del <span class="blank"> </span>tiempo <span class="blank _22"> </span>pierden <span class="blank"> </span>sus <span class="blank"> </span>habilidades <span class="blank _22"> </span>aritmétic<span class="blank _2"></span>as <span class="blank"> </span>y <span class="blank _22"> </span>no <span class="blank"> </span>logran <span class="blank _22"> </span>construir </div><div class="t m0 x13 hb yb0 ff4 fs7 fc0 sc0 ls1 ws0">sólidamente <span class="blank _2"></span>las algebraic<span class="blank _2"></span>as, lo <span class="blank _2"></span>cual <span class="blank _2"></span>finalmente <span class="blank _2"></span>se t<span class="blank _2"></span>raduce <span class="blank _2"></span>en un<span class="blank _2"></span> desempeño <span class="blank _2"></span>pobre </div><div class="t m0 x13 hb yb1 ff4 fs7 fc0 sc0 ls1 ws0">en <span class="blank _e"></span>la <span class="blank _e"></span>resolución <span class="blank _2"></span>de <span class="blank _e"></span>problemas, <span class="blank _e"></span>tanto <span class="blank _e"></span>en <span class="blank _2"></span>el <span class="blank _e"></span>aspecto <span class="blank _e"></span>aritmético <span class="blank _e"></span>como <span class="blank _e"></span>en e<span class="blank _2"></span>l <span class="blank _e"></span>algebraico.<span class="ff3"> </span></div><div class="t m0 x13 hb yb2 ff3 fs7 fc0 sc0 ls1 ws0">(Hitt, 2002) </div><div class="t m0 x2 hf yb3 ff3 fs9 fc0 sc0 ls1 ws0">En la <span class="blank _0"> </span>creación d<span class="blank _0"> </span>e concepcio<span class="blank _0"> </span>nes y <span class="blank _0"> </span>criterios de <span class="blank _0"> </span>que <span class="blank _0"> </span>el Álgebra <span class="blank _0"> </span>es mera<span class="blank _0"> </span>mente <span class="blank _0"> </span>una </div><div class="t m0 x2 hf yb4 ff3 fs9 fc0 sc0 ls1 ws0">generalización <span class="blank _15"> </span>de <span class="blank _15"> </span>los <span class="blank _15"> </span>proces<span class="blank _0"> </span>os <span class="blank _1f"> </span>ar<span class="blank _0"> </span>itméticos <span class="blank _15"> </span>que <span class="blank _15"> </span>s<span class="blank _0"> </span>e <span class="blank _1f"> </span>trabaja<span class="blank _0"> </span>ron <span class="blank _15"> </span>anteriormente, <span class="blank _15"> </span>lo<span class="blank _0"> </span> </div><div class="t m0 x2 hf yb5 ff3 fs9 fc0 sc0 ls1 ws0">que <span class="blank _14"> </span>se <span class="blank _13"> </span>espera <span class="blank _14"> </span>es, <span class="blank _13"> </span>por <span class="blank _14"> </span>un <span class="blank _13"> </span>lado, <span class="blank _14"> </span>que <span class="blank _14"> </span>l<span class="blank _0"> </span>os <span class="blank _14"> </span>est<span class="blank _0"> </span>udiantes <span class="blank _14"> </span>c<span class="blank _0"> </span>onstruyan <span class="blank _14"> </span>sig<span class="blank _0"> </span>nificados <span class="blank _13"> </span>de </div><div class="t m0 x2 hf yb6 ff3 fs9 fc0 sc0 ls1 ws0">manera <span class="blank _14"> </span>formal <span class="blank _14"> </span>en <span class="blank _14"> </span>el <span class="blank _14"> </span>t<span class="blank _0"> </span>ratamiento <span class="blank _14"> </span>de <span class="blank _14"> </span>probl<span class="blank _0"> </span>emas <span class="blank _14"> </span>tratados <span class="blank _14"> </span>intuitiva<span class="blank _0"> </span>mente <span class="blank _14"> </span>y, <span class="blank _14"> </span>por </div><div class="t m0 x2 hf yb7 ff3 fs9 fc0 sc0 ls1 ws0">otro <span class="blank _1a"> </span>lado, <span class="blank _1a"> </span>la <span class="blank _1a"> </span>introducción <span class="blank _1a"> </span>de <span class="blank _1a"> </span>objetos <span class="blank _1a"> </span>matemáticos <span class="blank _1a"> </span>nuevos <span class="blank _1a"> </span>como <span class="blank _1a"> </span>ecuación<span class="blank _0"> </span>, </div><div class="t m0 x2 hf yb8 ff3 fs9 fc0 sc0 ls1 ws0">incógnita, literales, etc. Desde la perspectiva<span class="blank _0"> </span> de Vergnaud (1987) para lograr<span class="blank _0"> </span>lo es </div><div class="t m0 x2 hf yb9 ff3 fs9 fc0 sc0 ls1 ws0">necesario <span class="blank _13"> </span>una <span class="blank _1c"> </span>ruptura <span class="blank _1c"> </span>en <span class="blank _13"> </span>la <span class="blank _1c"> </span>conceptualizació<span class="blank _0"> </span>n<span class="blank _0"> </span> <span class="blank _13"> </span>en <span class="blank _1c"> </span>los <span class="blank _13"> </span>procesos <span class="blank _1c"> </span>formales <span class="blank _1c"> </span>para </div><div class="t m0 x2 hf yba ff3 fs9 fc0 sc0 ls1 ws0">transitar de un pe<span class="blank _0"> </span>nsamiento aritmét<span class="blank _0"> </span>ico a uno algebr<span class="blank _0"> </span>aico.<span class="blank _0"> </span> </div><div class="t m0 x2 hf ybb ff3 fs9 fc0 sc0 ls1 ws0">Es <span class="blank _1c"> </span>importante <span class="blank _1c"> </span>que <span class="blank _1c"> </span>par<span class="blank _0"> </span>a <span class="blank _1c"> </span>el <span class="blank _1c"> </span>estudio <span class="blank _1c"> </span>del <span class="blank _1c"> </span>álgebra <span class="blank _1c"> </span>y <span class="blank _1c"> </span>las<span class="blank _0"> </span> <span class="blank _1c"> </span>funciones <span class="blank _1c"> </span>se <span class="blank _1c"> </span>considere<span class="blank _0"> </span>n </div><div class="t m0 x2 hf ybc ff3 fs9 fc0 sc0 ls1 ws0">contextos <span class="blank _13"> </span>comunitarios,<span class="blank _0"> </span> <span class="blank _13"> </span>en <span class="blank _14"> </span>este <span class="blank _13"> </span>sentido <span class="blank _13"> </span>investigaciones<span class="blank _0"> </span> <span class="blank _13"> </span>como <span class="blank _14"> </span>la <span class="blank _13"> </span>de <span class="blank _13"> </span>Carraher, </div><div class="t m0 x2 hf ybd ff3 fs9 fc0 sc0 ls1 ws0">Carraher <span class="blank _0"> </span>y <span class="blank _1f"> </span>Schlieman<span class="blank _0"> </span>n <span class="blank _0"> </span>(199<span class="blank _0"> </span>1), <span class="blank _0"> </span>en <span class="blank _0"> </span>donde <span class="blank _1f"> </span>se <span class="blank _0"> </span>ana<span class="blank _0"> </span>lizan <span class="blank _0"> </span>habi<span class="blank _0"> </span>lidades <span class="blank _0"> </span>su<span class="blank _0"> </span>byacentes <span class="blank _0"> </span>en<span class="blank _0"> </span> </div><div class="t m0 x2 hf ybe ff3 fs9 fc0 sc0 ls1 ws0">el <span class="blank _14"> </span>uso <span class="blank _13"> </span>de <span class="blank _14"> </span>balanzas <span class="blank _13"> </span>de <span class="blank _14"> </span>dos <span class="blank _13"> </span>platillos <span class="blank _14"> </span>en <span class="blank _13"> </span>la <span class="blank _14"> </span>vida <span class="blank _13"> </span>cotidiana <span class="blank _13"> </span>para <span class="blank _14"> </span>el <span class="blank _14"> </span>a<span class="blank _0"> </span>prendizaje <span class="blank _14"> </span>d<span class="blank _0"> </span>e </div><div class="t m0 x2 hf ybf ff3 fs9 fc0 sc0 ls1 ws0">ecuaciones <span class="blank _14"> </span>lineales<span class="blank _0"> </span> <span class="blank _14"> </span>son <span class="blank _14"> </span>un <span class="blank _14"> </span>buen <span class="blank _14"> </span>r<span class="blank _0"> </span>eferente. <span class="blank _14"> </span>O<span class="blank _0"> </span>tro <span class="blank _14"> </span>estudio <span class="blank _14"> </span>vinculado <span class="blank _14"> </span>c<span class="blank _0"> </span>on <span class="blank _14"> </span>dichos </div><div class="t m0 x2 hf yc0 ff3 fs9 fc0 sc0 ls1 ws0">contextos <span class="blank _15"> </span>comunita<span class="blank _0"> </span>rios <span class="blank _15"> </span>es <span class="blank _15"> </span>el <span class="blank _15"> </span>de <span class="blank _15"> </span>C<span class="blank _0"> </span>han, <span class="blank _14"> </span>Konrad, <span class="blank _15"> </span>González, <span class="blank _15"> </span>Peters <span class="blank _14"> </span>y <span class="blank _15"> </span>Ressa <span class="blank _15"> </span>(2014), </div><div class="t m0 x2 hf yc1 ff3 fs9 fc0 sc0 ls1 ws0">en <span class="blank _e"></span>el <span class="blank _2"></span>que <span class="blank _e"></span>se <span class="blank _e"></span>investigó<span class="blank _0"> </span> <span class="blank _e"></span>cómo <span class="blank _2"></span>personas <span class="blank _e"></span>con<span class="blank _0"> </span> <span class="blank _e"></span>síndrome <span class="blank _2"></span>de <span class="blank _e"></span>Down <span class="blank _e"></span>co<span class="blank _0"> </span>mbinan <span class="blank _e"></span>f<span class="blank _0"> </span>inanzas </div><div class="t m0 x2 hf yc2 ff3 fs9 fc0 sc0 ls1 ws0">con álgebra en u<span class="blank _0"> </span>n entorno del mu<span class="blank _0"> </span>ndo real.<span class="blank _0"> </span> </div><div class="t m0 x2 hf yc3 ff3 fs9 fc0 sc0 ls1 ws0">Debido <span class="blank"> </span>a <span class="blank _12"> </span>lo <span class="blank _12"> </span>anterior, <span class="blank"> </span>l<span class="blank _0"> </span>os <span class="blank"> </span>profes<span class="blank _0"> </span>ores <span class="blank"> </span>de <span class="blank _12"> </span>matemát<span class="blank _0"> </span>icas <span class="blank"> </span>debe<span class="blank _0"> </span>n <span class="blank"> </span>ser <span class="blank _12"> </span>capaces <span class="blank _12"> </span>de </div><div class="t m0 x2 hf yc4 ff3 fs9 fc0 sc0 ls1 ws0">diseñar <span class="blank _12"> </span>ese <span class="blank"> </span>t<span class="blank _0"> </span>ipo <span class="blank _12"> </span>de <span class="blank _12"> </span>act<span class="blank _0"> </span>ividades <span class="blank"> </span>a<span class="blank _0"> </span>lgebraicas <span class="blank _12"> </span>y <span class="blank _12"> </span>propon<span class="blank _0"> </span>erlas <span class="blank _12"> </span>a <span class="blank _12"> </span>estudiantes <span class="blank _12"> </span>de </div><div class="t m0 x2 hf yc5 ff3 fs9 fc0 sc0 ls1 ws0">educación <span class="blank _16"> </span>secu<span class="blank _0"> </span>ndaria <span class="blank _18"> </span>o <span class="blank _16"> </span>me<span class="blank _0"> </span>dia <span class="blank _16"> </span>supe<span class="blank _0"> </span>rior <span class="blank _16"> </span>co<span class="blank _0"> </span>n <span class="blank _16"> </span>un <span class="blank _18"> </span>enfoque <span class="blank _18"> </span>metodol<span class="blank _0"> </span>ógico <span class="blank _16"> </span>y </div><div class="t m0 x2 hf yc6 ff3 fs9 fc0 sc0 ls1 ws0">pedagógico pertin<span class="blank _0"> </span>ente. </div><div class="t m0 x2 h10 yc7 ff2 fsa fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h10 yc8 ff2 fsa fc0 sc0 ls1 ws0">Descripción </div><div class="t m0 x2 hf yc9 ff3 fs9 fc0 sc0 ls1 ws0">Este <span class="blank _15"> </span>curso <span class="blank _15"> </span>teórico-práct<span class="blank _0"> </span>ico <span class="blank _15"> </span><span class="ff4">Álgebra <span class="blank _15"> </span>y <span class="blank _15"> </span>funciones</span>,<span class="blank _0"> </span> <span class="blank _15"> </span>se <span class="blank _1f"> </span>ubica <span class="blank _15"> </span>en <span class="blank _15"> </span>la <span class="blank _15"> </span>Fase <span class="blank _15"> </span>1, <span class="blank _15"> </span>segundo </div><div class="t m0 x2 hf yca ff3 fs9 fc0 sc0 ls1 ws0">semestre de la malla curricular del Plan de estudio 2022 y pertenece a<span class="blank _0"> </span>l Trayecto: </div><div class="t m0 x2 hf ycb ff3 fs9 fc0 sc0 ls1 ws0">Formación <span class="blank _21"> </span>pedagógica, <span class="blank _21"> </span>didáctica <span class="blank _21"> </span>e <span class="blank _21"> </span>interdisciplinar. <span class="blank _21"> </span>Para <span class="blank _21"> </span>su <span class="blank _23"> </span>estudio <span class="blank _21"> </span>se </div><div class="t m0 x2 hf ycc ff3 fs9 fc0 sc0 ls1 ws0">contemplan <span class="blank _11"> </span>las <span class="blank _1b"> </span>exp<span class="blank _0"> </span>resiones <span class="blank _11"> </span>algebraicas <span class="blank _11"> </span>y <span class="blank _1b"> </span>sus <span class="blank _11"> </span>operaciones; <span class="blank _11"> </span>ecuaciones <span class="blank _11"> </span>y </div><div class="t m0 x2 hf ycd ff3 fs9 fc0 sc0 ls1 ws0">desigualdades, <span class="blank _13"> </span>así <span class="blank _14"> </span>com<span class="blank _0"> </span>o <span class="blank _14"> </span>las <span class="blank _13"> </span>funciones <span class="blank _14"> </span>y <span class="blank _13"> </span>variaci<span class="blank _0"> </span>ón, <span class="blank _13"> </span>lo <span class="blank _14"> </span>cual <span class="blank _13"> </span>permitirá <span class="blank _13"> </span>a <span class="blank _14"> </span>las <span class="blank _13"> </span>y <span class="blank _14"> </span>los </div><div class="t m0 x2 hf yce ff3 fs9 fc0 sc0 ls1 ws0">docentes en for<span class="blank _0"> </span>mación un es<span class="blank _0"> </span>tudio más <span class="blank _0"> </span>profundo de u<span class="blank _0"> </span>n sistema mate<span class="blank _0"> </span>mático de </div><div class="t m0 x2 hf ycf ff3 fs9 fc0 sc0 ls1 ws0">signos <span class="blank _14"> </span>algebraico <span class="blank _14"> </span>(Filloy, <span class="blank _14"> </span>Rojano <span class="blank _14"> </span>y <span class="blank _14"> </span>Puig, <span class="blank _14"> </span>2008), <span class="blank _14"> </span>para <span class="blank _14"> </span>sentar <span class="blank _14"> </span>las <span class="blank _14"> </span>bases <span class="blank _14"> </span>de <span class="blank _14"> </span>cursos </div><div class="t m0 x2 hf yd0 ff3 fs9 fc0 sc0 ls1 ws0">posteriores de las m<span class="blank _0"> </span>atemáticas.<span class="blank _0"> </span> </div><div class="t m0 x2 hf yd1 ff3 fs9 fc0 sc0 ls1 ws0">Para el desarrollo del curso se s<span class="blank _0"> </span>ugiere favorece<span class="blank _0"> </span>r ambientes colaborativo<span class="blank _0"> </span>s para el </div><div class="t m0 x2 hf yd2 ff3 fs9 fc0 sc0 ls1 ws0">aprendizaje <span class="blank _f"> </span>y <span class="blank _f"> </span>la <span class="blank _f"> </span>toma <span class="blank _f"> </span>de <span class="blank _f"> </span>decisiones, <span class="blank"> </span>considerando <span class="blank _1c"> </span>e<span class="blank _0"> </span>l <span class="blank _f"> </span>uso <span class="blank _f"> </span>de <span class="blank _f"> </span>varios <span class="blank _f"> </span>recursos </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x10 h9 y17 ff3 fs0 fc0 sc0 ls1 ws0">9 </div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hf y89 ff3 fs9 fc0 sc0 ls1 ws0">didácticos <span class="blank _14"> </span>y <span class="blank _13"> </span>distintas <span class="blank _14"> </span>herrami<span class="blank _0"> </span>entas <span class="blank _14"> </span>tecnoló<span class="blank _0"> </span>gicas, <span class="blank _13"> </span>tales <span class="blank _14"> </span>como: <span class="blank _14"> </span>hojas <span class="blank _13"> </span>de <span class="blank _14"> </span>cálculo,<span class="blank _0"> </span> </div><div class="t m0 x2 hf y8a ff3 fs9 fc0 sc0 ls1 ws0">graficadores <span class="blank _1c"> </span>dinámicos,<span class="blank _0"> </span> <span class="blank _1c"> </span>etc., <span class="blank _1c"> </span>para <span class="blank _1c"> </span>apoyar <span class="blank _1c"> </span>las <span class="blank _1c"> </span>tareas <span class="blank _1c"> </span>de <span class="blank _1c"> </span>e<span class="blank _0"> </span>xploración <span class="blank _1c"> </span>numér<span class="blank _0"> </span>ica, </div><div class="t m0 x2 hf y8b ff3 fs9 fc0 sc0 ls1 ws0">construcción <span class="blank"> </span>y <span class="blank"> </span>operación <span class="blank"> </span>de <span class="blank _f"> </span>expresio<span class="blank _0"> </span>nes <span class="blank"> </span>algebraicas, <span class="blank"> </span>además <span class="blank"> </span>de <span class="blank _f"> </span>analizar <span class="blank"> </span>el </div><div class="t m0 x2 hf y8c ff3 fs9 fc0 sc0 ls1 ws0">comportamiento <span class="blank _11"> </span>de <span class="blank _1b"> </span>funciones <span class="blank _11"> </span>mediante <span class="blank _1b"> </span>t<span class="blank _0"> </span>abulación <span class="blank _11"> </span>y <span class="blank _18"> </span>g<span class="blank _0"> </span>raficación. <span class="blank _11"> </span>Por <span class="blank _1b"> </span>lo </div><div class="t m0 x2 hf y8d ff3 fs9 fc0 sc0 ls1 ws0">anterior, se <span class="blank _2"></span>sugiere el <span class="blank _2"></span>trabajo colegiado con el d<span class="blank _2"></span>ocente titular del <span class="blank _2"></span>curso <span class="blank _0"> </span><span class="ff4">Soportes </span></div><div class="t m0 x2 hf y8e ff4 fs9 fc0 sc0 ls1 ws0">tecnológicos <span class="blank _13"> </span>para <span class="blank _13"> </span>l<span class="blank _0"> </span>a <span class="blank _13"> </span>enseñanza <span class="blank _13"> </span>de <span class="blank _13"> </span>l<span class="blank _0"> </span>as <span class="blank _13"> </span>matemáticas, <span class="blank _1c"> </span><span class="ff3">el <span class="blank _13"> </span>cual <span class="blank _13"> </span>le <span class="blank _13"> </span>pud<span class="blank _0"> </span>e <span class="blank _13"> </span>aportar </span></div><div class="t m0 x2 hf y8f ff3 fs9 fc0 sc0 ls1 ws0">elementos <span class="blank _1f"> </span>teóricos <span class="blank _15"> </span>y <span class="blank _1f"> </span>metodo<span class="blank _0"> </span>lógicos <span class="blank _1f"> </span>para <span class="blank _15"> </span>el <span class="blank _1f"> </span>us<span class="blank _0"> </span>o <span class="blank _1f"> </span>de <span class="blank _1f"> </span>recursos <span class="blank _15"> </span>y <span class="blank _1f"> </span>platafo<span class="blank _0"> </span>rmas <span class="blank _1f"> </span>que </div><div class="t m0 x2 hf y90 ff3 fs9 fc0 sc0 ls1 ws0">favorecen el apre<span class="blank _0"> </span>ndizaje de los conteni<span class="blank _0"> </span>dos disciplinares.<span class="blank _1f"> </span> </div><div class="t m0 x2 hf yd3 ff3 fs9 fc0 sc0 ls1 ws0">El <span class="blank _1c"> </span>estudi<span class="blank _0"> </span>o <span class="blank _1c"> </span>d<span class="blank _0"> </span>el <span class="blank _1c"> </span>álge<span class="blank _0"> </span>bra <span class="blank _f"> </span>y <span class="blank _1c"> </span>las <span class="blank _f"> </span>funciones, <span class="blank _f"> </span>como <span class="blank"> </span>par<span class="blank _2"></span>te <span class="blank _f"> </span>d<span class="blank _0"> </span>e <span class="blank _f"> </span>la <span class="blank _1c"> </span>for<span class="blank _0"> </span>mación <span class="blank _f"> </span>docente, </div><div class="t m0 x2 hf yd4 ff3 fs9 fc0 sc0 ls1 ws0">contempla <span class="blank _1f"> </span>la <span class="blank _0"> </span>resolución<span class="blank _0"> </span> <span class="blank _0"> </span>de <span class="blank _0"> </span>p<span class="blank _0"> </span>roblemas <span class="blank _0"> </span>comun<span class="blank _0"> </span>itarios <span class="blank _0"> </span>y <span class="blank _1f"> </span>de <span class="blank _0"> </span>las <span class="blank _1f"> </span>ciencias <span class="blank _1f"> </span>mediante </div><div class="t m0 x2 hf y93 ff3 fs9 fc0 sc0 ls1 ws0">el <span class="blank _1b"> </span>uso <span class="blank _11"> </span>de <span class="blank _1b"> </span>modelos.<span class="blank _0"> </span> <span class="blank _1b"> </span>En <span class="blank _11"> </span>este <span class="blank _1b"> </span>sentido <span class="blank _11"> </span>es <span class="blank _1b"> </span>importante <span class="blank _11"> </span>que <span class="blank _1b"> </span>los <span class="blank _11"> </span>estudiantes<span class="blank _0"> </span> </div><div class="t m0 x2 hf y94 ff3 fs9 fc0 sc0 ls1 ws0">reconozcan que los contenidos del <span class="blank _2"></span>curso pueden identificarse en las actividades </div><div class="t m0 x2 hf y95 ff3 fs9 fc0 sc0 ls1 ws0">de <span class="blank _15"> </span>la <span class="blank _15"> </span>comunidad, <span class="blank _14"> </span>lo <span class="blank _1f"> </span>cual <span class="blank _14"> </span>los <span class="blank _1f"> </span>lleve <span class="blank _15"> </span>a <span class="blank _15"> </span>inte<span class="blank _0"> </span>rpretar <span class="blank _15"> </span>el <span class="blank _15"> </span>aprendizaj<span class="blank _0"> </span>e <span class="blank _15"> </span>en <span class="blank _15"> </span>contexto <span class="blank _14"> </span>y <span class="blank _1f"> </span>en<span class="blank _0"> </span> </div><div class="t m0 x2 hf y96 ff3 fs9 fc0 sc0 ls1 ws0">situaciones asociad<span class="blank _0"> </span>as a una educació<span class="blank _0"> </span>n que puede ser <span class="blank _0"> </span>de tipo informal.<span class="blank _1f"> </span> </div><div class="t m0 x2 hf yd5 ff3 fs9 fc0 sc0 ls1 ws0">La <span class="blank _10"> </span>formac<span class="blank _0"> </span>ión <span class="blank _10"> </span>docent<span class="blank _0"> </span>e <span class="blank _19"> </span>requiere <span class="blank _10"> </span>que <span class="blank _19"> </span>en <span class="blank _10"> </span>to<span class="blank _0"> </span>do <span class="blank _10"> </span>mom<span class="blank _0"> </span>ento <span class="blank _10"> </span>los <span class="blank _19"> </span>estudiantes<span class="blank _0"> </span> </div><div class="t m0 x2 hf yd6 ff3 fs9 fc0 sc0 ls1 ws0">normalistas <span class="blank _10"> </span>reflexione<span class="blank _0"> </span>n <span class="blank _10"> </span>sobre <span class="blank _10"> </span>sus<span class="blank _0"> </span> <span class="blank _10"> </span>propios <span class="blank _10"> </span>pro<span class="blank _0"> </span>cesos <span class="blank _10"> </span>de <span class="blank _10"> </span>constr<span class="blank _0"> </span>ucción <span class="blank _10"> </span>del </div><div class="t m0 x2 hf yd7 ff3 fs9 fc0 sc0 ls1 ws0">conocimiento <span class="blank _15"> </span>algebra<span class="blank _0"> </span>ico, <span class="blank _15"> </span>las <span class="blank _15"> </span>dificultades <span class="blank _15"> </span>qu<span class="blank _0"> </span>e <span class="blank _1f"> </span>expe<span class="blank _0"> </span>rimentan <span class="blank _15"> </span>en <span class="blank _15"> </span>su <span class="blank _15"> </span>apre<span class="blank _0"> </span>ndizaje, </div><div class="t m0 x2 hf yd8 ff3 fs9 fc0 sc0 ls1 ws0">las estrategias d<span class="blank _0"> </span>idácticas que utili<span class="blank _0"> </span>za el formador,<span class="blank _0"> </span> el tipo de producc<span class="blank _0"> </span>iones que s<span class="blank _0"> </span>e </div><div class="t m0 x2 hf yd9 ff3 fs9 fc0 sc0 ls1 ws0">generan. Para ello, podrán acordar actividades comunes con el <span class="blank _2"></span>curso <span class="ff4">Anális<span class="blank _0"> </span>is de </span></div><div class="t m0 x2 hf yda ff4 fs9 fc0 sc0 ls1 ws0">práctica <span class="blank _1f"> </span>y <span class="blank _15"> </span>co<span class="blank _0"> </span>ntextos <span class="blank _1f"> </span>es<span class="blank _0"> </span>colares<span class="blank _0"> </span><span class="ff3">, <span class="blank _1f"> </span>as<span class="blank _0"> </span>í <span class="blank _1f"> </span>como <span class="blank _15"> </span>con <span class="blank _15"> </span>ot<span class="blank _0"> </span>ros <span class="blank _1f"> </span>cursos<span class="blank _0"> </span> <span class="blank _1f"> </span>del <span class="blank _15"> </span>mismo <span class="blank _15"> </span>semestr<span class="blank _0"> </span>e </span></div><div class="t m0 x2 hf ydb ff3 fs9 fc0 sc0 ls1 ws0">para <span class="blank _e"></span>an<span class="blank _0"> </span>alizar l<span class="blank _2"></span>os <span class="blank _2"></span>procesos de <span class="blank _e"></span>aprendizaj<span class="blank _0"> </span>e <span class="blank _2"></span>del <span class="blank _e"></span>á<span class="blank _0"> </span>lgebra <span class="blank _2"></span>en <span class="blank _e"></span>l<span class="blank _0"> </span>as <span class="blank _2"></span>escuelas <span class="blank _2"></span>secundarias </div><div class="t m0 x2 hf ydc ff3 fs9 fc0 sc0 ls1 ws0">y <span class="blank _e"></span>de <span class="blank _2"></span>media <span class="blank _e"></span>superior, como <span class="blank _e"></span>parte <span class="blank _e"></span>d<span class="blank _0"> </span>e <span class="blank _e"></span>un <span class="blank _2"></span>diagnóstico <span class="blank _2"></span>pedagógico <span class="blank _2"></span>que <span class="blank _e"></span>se <span class="blank _2"></span>desarrolla </div><div class="t m0 x2 hf ydd ff3 fs9 fc0 sc0 ls1 ws0">como proyecto <span class="blank _0"> </span>integrador, el cual se <span class="blank _0"> </span>describe m<span class="blank _0"> </span>ás adelante <span class="blank _0"> </span> </div><div class="t m0 x2 h10 yde ff2 fsa fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 h10 ydf ff2 fsa fc0 sc0 ls1 ws0">Cursos con los que se relaciona </div><div class="t m0 x2 hf ye0 ff3 fs9 fc0 sc0 ls1 ws0">El enfoque <span class="blank _0"> </span>propuesto <span class="blank _0"> </span>para <span class="blank _0"> </span>la malla c<span class="blank _0"> </span>urricular <span class="blank _0"> </span>de <span class="blank _0"> </span>la Licenciatur<span class="blank _0"> </span>a en E<span class="blank _0"> </span>nseñanza <span class="blank _0"> </span>y </div><div class="t m0 x2 hf ye1 ff3 fs9 fc0 sc0 ls1 ws0">Aprendizaje <span class="blank _17"> </span>de <span class="blank _17"> </span>las <span class="blank _17"> </span>Matemáticas <span class="blank _17"> </span>favo<span class="blank _0"> </span>rece <span class="blank _17"> </span>una <span class="blank _17"> </span>vinculación <span class="blank _16"> </span>entre <span class="blank _17"> </span><span class="ff4">Álgebra <span class="blank _17"> </span>y </span></div><div class="t m0 x2 hf ye2 ff4 fs9 fc0 sc0 ls1 ws7">funciones<span class="ff3 ws0"> <span class="blank"> </span>con <span class="blank"> </span>cu<span class="blank _0"> </span>rsos <span class="blank"> </span>del <span class="blank _12"> </span>mismo <span class="blank"> </span>trayecto <span class="blank _12"> </span>formativo <span class="blank"> </span>Formac<span class="blank _0"> </span>ión <span class="blank"> </span>ped<span class="blank _0"> </span>agógica, </span></div><div class="t m0 x2 hf ye3 ff3 fs9 fc0 sc0 ls1 ws0">didáctica <span class="blank _13"> </span>e <span class="blank _14"> </span>i<span class="blank _0"> </span>nterdisciplinar. <span class="blank _13"> </span>Cabe <span class="blank _13"> </span>destacar <span class="blank _13"> </span>el <span class="blank _13"> </span>vínculo <span class="blank _13"> </span>estrecho <span class="blank _13"> </span>con <span class="blank _13"> </span>el <span class="blank _13"> </span>curso <span class="blank _13"> </span>de </div><div class="t m0 x2 hf ye4 ff4 fs9 fc0 sc0 ls1 ws0">Sentido <span class="blank _0"> </span>numérico <span class="blank _0"> </span>y <span class="blank _0"> </span>teoría <span class="blank _0"> </span>de <span class="blank _0"> </span>la <span class="blank _0"> </span>aritmética<span class="blank _0"> </span><span class="ff3 ls8">, <span class="blank _0"> </span><span class="ls1">no sólo <span class="blank _0"> </span>po<span class="blank _0"> </span>r el <span class="blank _0"> </span>uso <span class="blank _0"> </span>del <span class="blank _0"> </span>conocimie<span class="blank _0"> </span>nto </span></span></div><div class="t m0 x2 hf ye5 ff3 fs9 fc0 sc0 ls1 ws0">sobre números <span class="blank _2"></span>y sus <span class="blank _2"></span>operaciones, sino también por la <span class="blank _2"></span>transición de la <span class="blank _2"></span>aritmética </div><div class="t m0 x2 hf ye6 ff3 fs9 fc0 sc0 ls1 ws0">al <span class="blank"> </span>álgebra <span class="blank _12"> </span>como <span class="blank"> </span>un <span class="blank _12"> </span>eslabón <span class="blank _12"> </span>fundamental <span class="blank _12"> </span>para <span class="blank _12"> </span>construir <span class="blank"> </span>ideas <span class="blank _12"> </span>y <span class="blank"> </span>conc<span class="blank _0"> </span>eptos </div><div class="t m0 x2 hf ye7 ff3 fs9 fc0 sc0 ls1 ws0">matemáticos <span class="blank _17"> </span>más <span class="blank _1a"> </span>complejos <span class="blank _17"> </span>y <span class="blank _1a"> </span>abst<span class="blank _0"> </span>ractos. <span class="blank _1a"> </span>E<span class="blank _0"> </span>n <span class="blank _1a"> </span>aritmética <span class="blank _17"> </span>las <span class="blank _1a"> </span>cantida<span class="blank _0"> </span>des <span class="blank _1a"> </span>se<span class="blank _0"> </span> </div><div class="t m0 x2 hf ye8 ff3 fs9 fc0 sc0 ls1 ws0">expresan <span class="blank _1c"> </span>po<span class="blank _0"> </span>r <span class="blank _1c"> </span>medio <span class="blank _1c"> </span>d<span class="blank _0"> </span>e <span class="blank _1c"> </span>números,<span class="blank _0"> </span> <span class="blank _1c"> </span>mientras <span class="blank _f"> </span>que <span class="blank _1c"> </span>en <span class="blank _1c"> </span>á<span class="blank _0"> </span>lgebra <span class="blank _1c"> </span>se <span class="blank _f"> </span>representan <span class="blank _1c"> </span>a<span class="blank _0"> </span> </div><div class="t m0 x2 hf ye9 ff3 fs9 fc0 sc0 ls1 ws0">través <span class="blank _11"> </span>d<span class="blank _0"> </span>e <span class="blank _10"> </span>letras. <span class="blank _11"> </span>N<span class="blank _0"> </span>o <span class="blank _10"> </span>obstante, <span class="blank _10"> </span>Filloy <span class="blank _10"> </span>y <span class="blank _10"> </span>Roj<span class="blank _0"> </span>ano <span class="blank _10"> </span>(1989) <span class="blank _11"> </span>s<span class="blank _0"> </span>eñalaron <span class="blank _10"> </span>que <span class="blank _10"> </span>las </div><div class="t m0 x2 hf yea ff3 fs9 fc0 sc0 ls1 ws0">concepciones <span class="blank _1f"> </span>de <span class="blank _0"> </span>los <span class="blank _0"> </span>est<span class="blank _0"> </span>udiantes <span class="blank _0"> </span>con <span class="blank _1f"> </span>respecto <span class="blank _0"> </span>a<span class="blank _0"> </span> <span class="blank _0"> </span>las <span class="blank _0"> </span>operac<span class="blank _0"> </span>iones <span class="blank _0"> </span>que <span class="blank _0"> </span>s<span class="blank _0"> </span>e <span class="blank _0"> </span>llevan <span class="blank _1f"> </span>a </div><div class="t m0 x2 hf yeb ff3 fs9 fc0 sc0 ls1 ws0">cabo con <span class="blank _e"></span>núm<span class="blank _0"> </span>eros se <span class="blank _e"></span>de<span class="blank _0"> </span>ben <span class="blank _2"></span>modificar de <span class="blank _2"></span>tal manera <span class="blank _e"></span>qu<span class="blank _0"> </span>e se <span class="blank _e"></span>pueda desarrollar la </div><div class="t m0 x2 hf yec ff3 fs9 fc0 sc0 ls1 ws0">idea <span class="blank _14"> </span>de <span class="blank _14"> </span>operar <span class="blank _14"> </span>c<span class="blank _0"> </span>on <span class="blank _14"> </span>distintos <span class="blank _13"> </span>objetos, <span class="blank _14"> </span>o <span class="blank _14"> </span>bien, <span class="blank _14"> </span>conceb<span class="blank _0"> </span>irse <span class="blank _14"> </span>como <span class="blank _14"> </span>nuevos <span class="blank _13"> </span>objetos. </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x2 yed w3 h15" alt="" src="https://files.passeidireto.com/4cd876ab-f316-4cd9-898c-daeed10b7383/bga.png"><div class="c x1 y1 w2 h0"><div class="t m0 xf ha y16 ff3 fs6 fc0 sc0 ls1 ws1">Licenciatura<span class="ff1 fc2 ws0"> </span><span class="ws0">en Enseñanza y Aprendizaje de las Matemáticas. Plan de estudios 2022<span class="ff1 fc2"> </span></span></div><div class="t m0 x14 h9 y17 ff3 fs0 fc0 sc0 lsa ws8">10<span class="ls1 ws0"> </span></div><div class="t m0 x2 h9 y18 ff3 fs0 fc0 sc0 ls1 ws0"> </div><div class="t m0 x2 hf y89 ff3 fs9 fc0 sc0 ls1 ws0">Operar <span class="blank _15"> </span>con <span class="blank _14"> </span>diferentes <span class="blank _14"> </span>tipos <span class="blank _15"> </span>de <span class="blank _14"> </span>números <span class="blank _15"> </span>est<span class="blank _0"> </span>á <span class="blank _15"> </span>presente <span class="blank _14"> </span>en <span class="blank _15"> </span>la <span class="blank _14"> </span>generalización <span class="blank _14"> </span>de </div><div class="t m0 x2 hf y8a ff3 fs9 fc0 sc0 ls1 ws0">sucesiones <span class="blank _1b"> </span>co<span class="blank _0"> </span>n <span class="blank _11"> </span>progresión <span class="blank _1b"> </span>aritm<span class="blank _0"> </span>ética <span class="blank _1b"> </span>o<span class="blank _0"> </span> <span class="blank _1b"> </span>geométric<span class="blank _0"> </span>a; <span class="blank _1b"> </span>las <span class="blank _11"> </span>operaciones<span class="blank _0"> </span> <span class="blank _1b"> </span>con </div><div class="t m0 x2 hf y8b ff3 fs9 fc0 sc0 ls1 ws0">monomios y <span class="blank _2"></span>polinomios; la <span class="blank _2"></span>resolución d<span class="blank _2"></span>e ecuaciones o <span class="blank _e"></span>s<span class="blank _0"> </span>istemas<span class="blank _0"> </span> d<span class="blank _2"></span>e ecuaciones <span class="blank _2"></span>e </div><div class="t m0 x2 hf y8c ff3 fs9 fc0 sc0 ls1 ws0">inecuaciones; <span class="blank _f"> </span>la <span class="blank _1c"> </span>com<span class="blank _0"> </span>probación <span class="blank _f"> </span>de <span class="blank _f"> </span>la <span class="blank _1c"> </span>s<span class="blank _0"> </span>olución; <span class="blank _f"> </span>la <span class="blank _1c"> </span>eva<span class="blank _0"> </span>luación <span class="blank _f"> </span>y <span class="blank _f"> </span>graficación <span class="blank _f"> </span>de </div><div class="t m0 x2 hf y8d ff3 fs9 fc0 sc0 ls1 ws0">funciones; <span class="blank _14"> </span>y, <span class="blank _13"> </span>el <span class="blank _14"> </span>desarrollo <span class="blank _14"> </span>de <span class="blank _14"> </span>modelos<span class="blank _0"> </span> <span class="blank _14"> </span>matemáticos <span class="blank _14"> </span>as<span class="blank _0"> </span>ociados <span class="blank _14"> </span>con <span class="blank _14"> </span>fen<span class="blank _0"> </span>ómenos </div><div class="t m0 x2 hf y8e ff3 fs9 fc0 sc0 ls1 ws0">naturales, biológicos<span class="blank _0"> </span>, físicos o químicos.<span class="blank _0"> </span> <span class="blank _0"> </span> </div><div class="t m0 x2 hf yee ff3 fs9 fc0 sc0 ls1 ws0">También <span class="blank _18"> </span>se <span class="blank _1b"> </span>relac<span class="blank _0"> </span>iona <span class="blank _1b"> </span>con <span class="blank _1b"> </span>el <span class="blank _18"> </span>curso <span class="blank _1b"> </span>de <span class="blank _11"> </span><span class="ff4 ws7">Trigonometría</span> <span class="blank _1b"> </span>porque <span class="blank _1b"> </span>perm<span class="blank _0"> </span>ite <span class="blank _18"> </span>el </div><div class="t m0 x2 hf yef ff3 fs9 fc0 sc0 ls1 ws0">planteamiento <span class="blank _1a"> </span>del <span class="blank _12"> </span>m<span class="blank _0"> </span>odelo <span class="blank _1a"> </span>matemático, <span class="blank _1a"> </span>a <span class="blank _12"> </span>pa<span class="blank _0"> </span>rtir <span class="blank _12"> </span>de <span class="blank _1a"> </span>la <span class="blank _12"> </span>i<span class="blank _0"> </span>dentificación <span class="blank _1a"> </span>de <span class="blank _12"> </span>las </div><div class="t m0 x2 hf yd3 ff3 fs9 fc0 sc0 ls1 ws0">variables <span class="blank _1f"> </span>y <span class="blank _1f"> </span>el <span class="blank _0"> </span>proceso <span class="blank _1f"> </span>para <span class="blank _1f"> </span>encontrar <span class="blank _1f"> </span>los <span class="blank _1f"> </span>valore<span class="blank _0"> </span>s <span class="blank _1f"> </span>de <span class="blank _0"> </span>dichas <span class="blank _1f"> </span>variables. <span class="blank _14"> </span><span class="ff4">Geometría </span></div><div class="t m0 x2 hf yd4 ff4 fs9 fc0 sc0 ls1 ws9">analítica<span class="ff3 ws0"> <span class="blank _14"> </span>es <span class="blank _14"> </span>un <span class="blank _14"> </span>antecedente <span class="blank _14"> </span>a <span class="blank _14"> </span>las<span class="blank _0"> </span> <span class="blank _14"> </span>representaciones <span class="blank _14"> </span>analíticas <span class="blank _14"> </span>de <span class="blank _14"> </span>las <span class="blank _14"> </span>funciones<span class="blank _0"> </span> </span></div><div class="t m0 x2 hf y93 ff3 fs9 fc0 sc0 ls1 ws0">algebraicas <span class="blank _23"> </span>y <span class="blank _10"> </span>lugares<span class="blank _0"> </span> <span class="blank _19"> </span>geométricos,<span class="blank _0"> </span> <span class="blank _19"> </span>en <span class="blank _23"> </span><span class="ff4">Cálculo <span class="blank _19"> </span>diferenci<span class="blank _0"> </span>al <span class="blank _19"> </span></span><span class="ws7">e</span><span class="ff4"> <span class="blank _23"> </span>integral</span> <span class="blank _19"> </span>la<span class="blank _0"> </span> </div><div class="t m0 x2 hf y94 ff3 fs9 fc0 sc0 ls1 ws0">manipulación <span class="blank _17"> </span>algeb<span class="blank _0"> </span>raica <span class="blank _17"> </span>permite <span class="blank _16"> </span>simplificar <span class="blank _17"> </span>y <span class="blank _17"> </span>obtener <span class="blank _17"> </span>de<span class="blank _0"> </span> <span class="blank _17"> </span>manera <span class="blank _17"> </span>c<span class="blank _0"> </span>oncisa </div><div class="t m0 x2 hf y95 ff3 fs9 fc0 sc0 ls1 ws0">puntos particulares d<span class="blank _0"> </span>e ciertas fu<span class="blank _0"> </span>nciones, así com<span class="blank _0"> </span>o simplificar ciertas inte<span class="blank _0"> </span>grales.<span class="blank _1f"> </span> </div><div class="t m0 x2 hf yf0 ff3 fs9 fc0 sc0 ls1 ws0">Así <span class="blank _0"> </span>pues, <span class="blank _1f"> </span>el <span class="blank _0"> </span>presente <span class="blank _1f"> </span>curso <span class="blank _1f"> </span>contribuye <span class="blank _0"> </span>al <span class="blank _1f"> </span>desarrollo <span class="blank _0"> </span>d<span class="blank _0"> </span>e <span class="blank _0"> </span>saberes <span class="blank _1f"> </span>y <span class="blank _0"> </span>razonamientos<span class="blank _0"> </span> </div><div class="t m0 x2 hf yd5 ff3 fs9 fc0 sc0 ls1 ws0">algebraicos que <span class="blank _e"></span>permite<span class="blank _0"> </span>n <span class="blank _2"></span>resolver <span class="blank _e"></span>p<span class="blank _0"> </span>roblemas de <span class="blank _e"></span>otras áreas <span class="blank _e"></span>de las matemáticas, </div><div class="t m0 x2 hf yd6 ff3 fs9 fc0 sc0 ls1 ws0">por <span class="blank"> </span>lo <span class="blank _12"> </span>que <span class="blank"> </span>el <span class="blank _12"> </span>abordaje <span class="blank _12"> </span>de <span class="blank"> </span>dichos <span class="blank _12"> </span>contenidos <span class="blank _12"> </span>son <span class="blank"> </span>el <span class="blank _12"> </span>punto <span class="blank"> </span>de <span class="blank _12"> </span>partida <span class="blank _12"> </span>para </div><div class="t m0 x2 hf yd7 ff3 fs9 fc0 sc0 ls1 ws0">posteriores <span class="blank _1a"> </span>cursos <span class="blank _1a"> </span>en <span class="blank _1a"> </span>el <span class="blank _1a"> </span>mismo <span class="blank _1a"> </span>ámbito <span class="blank _1a"> </span>disci<span class="blank _0"> </span>plinar. <span class="blank _1a"> </span>Finalmente, <span class="blank _1a"> </span>fav<span class="blank _0"> </span>orece <span class="blank _1a"> </span>la </div><div class="t m0 x2 hf yd8 ff3 fs9 fc0 sc0 ls1 ws0">formación <span class="blank _0"> </span>inicial de los<span class="blank _0"> </span> alumnos <span class="blank _0"> </span>normalistas<span class="blank _0"> </span> mediante <span class="blank _0"> </span>el <span class="blank _0"> </span>uso de <span class="blank _0"> </span>las tec<span class="blank _0"> </span>nologías </div><div class="t m0 x2 hf yd9 ff3 fs9 fc0 sc0 ls1 ws0">educativas <span class="blank _1c"> </span><span class="lsb wsa">qu</span>e<span class="blank _0"> </span> <span class="blank _1c"> </span>permiten <span class="blank _1c"> </span>desarrollar <span class="blank _1c"> </span>h<span class="blank _0"> </span>abilidades <span class="blank _1c"> </span>docent<span class="blank _0"> </span>es <span class="blank _1c"> </span>en <span class="blank _1c"> </span>los <span class="blank _1c"> </span>estudiantes </div><div class="t m0 x2 hf yda ff3 fs9 fc0 sc0 ls1 ws0">normalistas, <span class="blank _20"> </span>a <span class="blank _20"> </span>través <span class="blank _20"> </span>de <span class="blank _20"> </span>actividad<span class="blank _0"> </span>es <span class="blank _20"> </span>de <span class="blank _20"> </span>relaciones, <span class="blank _20"> </span>representac<span class="blank _0"> </span>iones <span class="blank _20"> </span>y </div><div class="t m0 x2 hf ydb ff3 fs9 fc0 sc0 ls1 ws0">modelación para la <span class="blank _0"> </span>solución de prob<span class="blank _0"> </span>lemas del contexto.<span class="blank _1f"> </span> </div><div class="t m0 x2 hf yf1 ff3 fs9 fc0 sc0 ls1 ws0">También <span class="blank _24"> </span>se <span class="blank _24"> </span>relacion<span class="blank _0"> </span>a <span class="blank _24"> </span>con <span class="blank _24"> </span>el <span class="blank _24"> </span>curso <span class="blank _25"> </span><span class="ff4">Metodologí<span class="blank _0"> </span>as <span class="blank _24"> </span>activas <span class="blank _24"> </span>para <span class="blank _24"> </span>la </span></div><div class="t m0 x2 hf yf2 ff4 fs9 fc0 sc0 ls1 ws7">interdisciplinaried<span class="blank _0"> </span>ad<span class="ff3 ws0">, <span class="blank _0"> </span>media<span class="blank _0"> </span>nte a<span class="blank _0"> </span>lgunas <span class="blank _0"> </span>activid<span class="blank _0"> </span>ades <span class="blank _0"> </span>del <span class="blank _0"> </span>trabajo <span class="blank _0"> </span>mult<span class="blank _0"> </span>idisciplinar </span></div><div class="t m0 x2 hf yf3 ff3 fs9 fc0 sc0 ls1 ws0">que <span class="blank"> </span>req<span class="blank _2"></span>uieren <span class="blank"> </span>de <span class="blank _f"> </span>la <span class="blank _f"> </span>co<span class="blank _0"> </span>nsolidación <span class="blank"> </span>del <span class="blank _f"> </span>lenguaje <span class="blank"> </span>algebraico; <span class="blank"> </span><span class="ff4">Didáctica<span class="blank _0"> </span> <span class="blank _f"> </span>de <span class="blank"> </span>las </span></div><div class="t m0 x2 hf yf4 ff4 fs9 fc0 sc0 ls1 ws0">matemáticas <span class="blank _1a"> </span><span class="lsc">en <span class="blank _1a"> </span></span>educación <span class="blank _12"> </span>básic<span class="blank _0"> </span>a<span class="ff3"> <span class="blank _12"> </span>br<span class="blank _0"> </span>inda <span class="blank _12"> </span>eleme<span class="blank _0"> </span>ntos <span class="blank _12"> </span>c<span class="blank _0"> </span>onceptuales <span class="blank _1a"> </span>para <span class="blank _12"> </span>el </span></div><div class="t m0 x2 hf yf5 ff3 fs9 fc0 sc0 ls1 ws0">análisis <span class="blank _1f"> </span>de <span class="blank _1f"> </span>los <span class="blank _1f"> </span>p<span class="blank _0"> </span>rocesos <span class="blank _15"> </span>de <span class="blank _1f"> </span>enseñ<span class="blank _0"> </span>anza <span class="blank _1f"> </span>y <span class="blank _1f"> </span>ap<span class="blank _0"> </span>rendizaje <span class="blank _1f"> </span>de <span class="blank _1f"> </span>la <span class="blank _15"> </span>matemática <span class="blank _1f"> </span>d<span class="blank _0"> </span>el <span class="blank _1f"> </span>nivel </div><div class="t m0 x2 hf yf6 ff3 fs9 fc0 sc0 ls1 ws0">medio <span class="blank _0"> </span>superio<span class="blank _0"> </span>r <span class="blank _0"> </span>y <span class="blank _0"> </span>superi<span class="blank _0"> </span>or; <span class="blank _0"> </span><span class="ff4">A<span class="blank _0"> </span>nálisis <span class="blank _0"> </span>y <span class="blank _0"> </span>desarrol<span class="blank _0"> </span>lo <span class="blank _0"> </span>curricula<span class="blank _0"> </span>r</span> <span class="blank _0"> </span>pro<span class="blank _0"> </span>mueve <span class="blank _0"> </span>la <span class="blank _0"> </span>r<span class="blank _0"> </span>eflexión </div><div class="t m0 x2 hf yf7 ff3 fs9 fc0 sc0 ls1 ws0">de <span class="blank"> </span>l<span class="blank _2"></span>os <span class="blank"> </span>problemas <span class="blank"> </span>q<span class="blank _2"></span>ue <span class="blank"> </span>aquejan <span class="blank"> </span>al <span class="blank _f"> </span>Sistema <span class="blank"> </span>Educativo <span class="blank"> </span>Nacional <span class="blank _f"> </span>y <span class="blank"> </span>las <span class="blank"> </span>políticas </div><div class="t m0 x2 hf yf8 ff3 fs9 fc0 sc0 ls1 ws0">educativas. <span class="blank _15"> </span><span class="ff4">Soportes<span class="blank _0"> </span> <span class="blank _1f"> </span>te<span class="blank _0"> </span>cnológicos <span class="blank _15"> </span>para <span class="blank _15"> </span>la <span class="blank _15"> </span>enseñanza <span class="blank _15"> </span>d<span class="blank _0"> </span>e <span class="blank _15"> </span>las <span class="blank _15"> </span>matemáti<span class="blank _0"> </span>cas</span> <span class="blank _15"> </span>con </div><div class="t m0 x2 hf yf9 ff3 fs9 fc0 sc0 ls1 ws0">el <span class="blank _15"> </span>len<span class="blank _0"> </span>guaje <span class="blank _14"> </span>y <span class="blank _14"> </span>la <span class="blank _15"> </span>formal<span class="blank _0"> </span>ización <span class="blank _14"> </span>algebraica <span class="blank _14"> </span>facilitan <span class="blank _14"> </span>la <span class="blank _15"> </span>relac<span class="blank _0"> </span>ión <span class="blank _15"> </span>c<span class="blank _0"> </span>on <span class="blank _14"> </span>la <span class="blank _14"> </span>ciencia <span class="blank _15"> </span>y <span class="blank _14"> </span>la </div><div class="t m0 x2 hf yfa ff3 fs9 fc0 sc0 ls1 ws0">tecnología, <span class="blank _14"> </span>y <span class="blank _14"> </span>es <span class="blank _14"> </span>de <span class="blank _14"> </span>suma <span class="blank _14"> </span>importancia <span class="blank _13"> </span>para <span class="blank _14"> </span>el <span class="blank _15"> </span>T<span class="blank _0"> </span>rayecto <span class="blank _14"> </span>de <span class="blank _14"> </span>Práctica <span class="blank _14"> </span>Pr<span class="blank _0"> </span>ofesional </div><div class="t m0 x2 hf yfb ff3 fs9 fc0 sc0 ls1 ws0">con respecto al a<span class="blank _0"> </span>nálisis de prácticas y conte<span class="blank _0"> </span>xtos escolare<span class="blank _0"> </span><span class="ls9">s. </span> </div><div class="t m0 x2 hf yfc ff3 fs9 fc0 sc0 ls1 ws0">Por <span class="blank _0"> </span>otro <span class="blank _0"> </span>la<span class="blank _0"> </span>do, <span class="blank _0"> </span>el <span class="blank _0"> </span>curso <span class="blank _0"> </span>d<span class="blank _0"> </span>e <span class="blank _0"> </span>la <span class="blank _1f"> </span><span class="ff4">Teoría <span class="blank _0"> </span>y <span class="blank _1f"> </span>modelos <span class="blank _1f"> </span>de <span class="blank _0"> </span>aprendizaje<span class="blank _0"> </span></span> <span class="blank _0"> </span>revisa <span class="blank _1f"> </span>las <span class="blank _0"> </span>teorías<span class="blank _0"> </span> <span class="blank _0"> </span>y </div><div class="t m0 x2 hf yfd ff3 fs9 fc0 sc0 ls1 ws0">paradigmas <span class="blank"> </span>del <span class="blank _f"> </span>aprendizaje <span class="blank"> </span>en <span class="blank _f"> </span>el <span class="blank _f"> </span>context<span class="blank _0"> </span>o <span class="blank _f"> </span>educativo, <span class="blank"> </span>lo <span class="blank _f"> </span>cual, <span class="blank _f"> </span>perm<span class="blank _0"> </span>itirá <span class="blank _f"> </span>una </div><div class="t m0 x2 hf yfe ff3 fs9 fc0 sc0 ls1 ws0">sistematización <span class="blank _2"></span>y <span class="blank _e"></span>consolidación <span class="blank _e"></span>de <span class="blank _e"></span>los <span class="blank _e"></span>conoc<span class="blank _0"> </span>imientos <span class="blank _2"></span>adquiridos <span class="blank _e"></span>en <span class="blank _e"></span>la <span class="blank _e"></span>ed<span class="blank _0"> </span>ucación </div><div class="t m0 x2 hf yff ff3 fs9 fc0 sc0 ls1 ws0">obligatoria y afirmar l<span class="blank _0"> </span>os conoci<span class="blank _0"> </span>mientos previos<span class="blank _0"> </span> del álgebra. <span class="blank _0"> </span> </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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